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[35] LaTeX Warning: Reference `sec:alternativeloeb' on page 36 undefined on input li ne 1388. LaTeX Warning: Reference `defn:muapprox' on page 36 undefined on input line 139 4. LaTeX Warning: Reference `lemma:approx' on page 36 undefined on input line 1394 . LaTeX Warning: Reference `thm:alternativeloeb' on page 36 undefined on input li ne 1394. LaTeX Warning: Reference `thm:alternativeloeb' on page 36 undefined on input li ne 1401. LaTeX Warning: Reference `sec:alternativeloeb' on page 36 undefined on input li ne 1402. Overfull \hbox (4.76456pt too wide) in paragraph at lines 1401--1403 []\OT1/cmr/m/n/10.95 We now prove the other di-rec-tion of the equiv-a-lence, u s-ing The-o-rem [] on $\OML/cmm/m/it/10.95 ^^V$\OT1/cmr/m/n/10.95 -approxima- LaTeX Warning: Citation `goldblatt' on page 36 undefined on input line 1404. LaTeX Warning: Citation `goldblatt' on page 36 undefined on input line 1407. LaTeX Warning: Reference `mdf@pagelabel-54' on page 36 undefined on input line 1412. 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LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `NonstandardAnalysisPartIII.out' has chang ed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ) (see the transcript file for additional information){/nix/store/kf1cyx9a3pyh4s8 3glx00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips/cm-super/cm -super-ts1.enc} Output written on NonstandardAnalysisPartIII.pdf (43 pages, 460615 bytes). Transcript written on NonstandardAnalysisPartIII.log. 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in-finites-i-mals ``bounded [8] [9] Overfull \hbox (2.97267pt too wide) in paragraph at lines 408--409 []\OT1/cmr/m/n/10.95 To ob-tain a more spe-cific form of The-o-rem []4.3[] with -out us-ing the Heine-Borel theorem--- [10] [11] Overfull \hbox (7.45532pt too wide) detected at line 492 \OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 8[] ^^R [][][]\U/msb/m/n/10.95 R\OT1/cm r/m/n/10.95 )((\OMS/cmsy/m/n/10.95 9\OML/cmm/m/it/10.95 n \OMS/cmsy/m/n/10.95 2 [][][]\U/msb/m/n/10.95 N\OT1/cmr/m/n/10.95 )([]) \OMS/cmsy/m/n/10.95 ) \OT1/cm r/m/n/10.95 (\OMS/cmsy/m/n/10.95 9\OML/cmm/m/it/10.95 x \OMS/cmsy/m/n/10.95 2 \ OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 )(\OMS/cmsy/m/n/10.95 8\OML/cmm/m/it/10. 95 y \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 )(\OML/cmm/m /it/10.95 x \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 y\OT1/cmr/m/n/10.95 )) [12] [13] [14] [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] [25] [26] Overfull \hbox (3.25035pt too wide) in paragraph at lines 1031--1032 [][]\OT1/cmr/bx/n/10.95 Theorem 8.3 \OT1/cmr/m/n/10.95 (Heine--Borel)\OT1/cmr/b x/n/10.95 . []\OT1/cmr/m/it/10.95 The com-pact sets in $\U/msb/m/n/10.95 R[]$ \ OT1/cmr/m/it/10.95 are pre-cisely the closed bounded Underfull \vbox (badness 2384) has occurred while \output is active [27] [28] [29] [30] [31] [32] [33] [34] [35] Overfull \hbox (6.86342pt too wide) in paragraph at lines 1401--1403 []\OT1/cmr/m/n/10.95 We now prove the other di-rec-tion of the equiv-a-lence, u s-ing The-o-rem []9.3[] on $\OML/cmm/m/it/10.95 ^^V$\OT1/cmr/m/n/10.95 -approxi ma- [36] [37] [38] [39] [40] [41] [42] [43] (./NonstandardAnalysisPartIII.aux) LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `NonstandardAnalysisPartIII.out' has chang ed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ) (see the transcript file for additional information){/nix/store/kf1cyx9a3pyh4s8 3glx00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips/cm-super/cm -super-ts1.enc} Output written on NonstandardAnalysisPartIII.pdf (43 pages, 458453 bytes). Transcript written on NonstandardAnalysisPartIII.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB /Users/patrick/Desktop/website/static-site-pdfs/MonadicityTheorems.tex - /Users/patrick/Desktop/website/static-site-pdfs/MonadicityTheorems.pdf ~/Desktop/website/static-site-pdfs ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/MonadicityTheorems.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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[9] (./MonadicityTheorems.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `MonadicityTheorems.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ){/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texm f/fonts/enc/dvips/lm/lm-rm.enc}{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-tex live-combined-2021/share/texmf/fonts/enc/dvips/lm/lm-mathsy.enc}{/nix/store/kf1 cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips /lm/lm-mathit.enc}{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined -2021/share/texmf/fonts/enc/dvips/lm/lm-rmsc.enc}{/nix/store/kf1cyx9a3pyh4s83gl x00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips/lm/lm-rmtt.enc } Output written on MonadicityTheorems.pdf (9 pages, 278946 bytes). Transcript written on MonadicityTheorems.log. 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[1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texm f-var/fonts/map/pdftex/updmap/pdftex.map} <./BabyDoge.png>] No file DogeConfPBT.toc. [2] No file DogeConfPBT.toc. [3] (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsa.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsb.fd) [4] (./DogeConfPBT.vrb) [5] [6] (./DogeConfPBT.vrb) [7] (./DogeConfPBT.vrb) [8] (./DogeConfPBT.vrb) [9] (./DogeConfPBT.vrb) [10] (./DogeConfPBT.vrb) [11] (./DogeConfPBT.vrb) [12] (./DogeConfPBT.vrb) [13] (./DogeConfPBT.vrb) [14] (./DogeConfPBT.vrb) [15] [16] (./DogeConfPBT.vrb) [17] (./DogeConfPBT.vrb) [18] [19] [20] (./DogeConfPBT.vrb) [21] (./DogeConfPBT.vrb) [22] (./DogeConfPBT.vrb) [23] No file DogeConfPBT.toc. [24] [25] [26] [27] [28] [29] [30] (./DogeConfPBT.vrb) [31] (./DogeConfPBT.vrb) [32] (./DogeConfPBT.vrb) [33] [34] (./DogeConfPBT.vrb) [35] (./DogeConfPBT.vrb) [36] (./DogeConfPBT.vrb) [37] [38] (./DogeConfPBT.vrb) [39] (./DogeConfPBT.vrb) [40] [41] No file DogeConfPBT.toc. Underfull \vbox (badness 10000) has occurred while \output is active [42] [43] (./DogeConfPBT.vrb) [44] (./DogeConfPBT.vrb) [45] [46] (./DogeConfPBT.vrb) [47] (./DogeConfPBT.vrb) [48] [49] (./DogeConfPBT.vrb) [50] [51] (./DogeConfPBT.vrb) [52] (./DogeConfPBT.vrb) [53] (./DogeConfPBT.vrb) [54] (./DogeConfPBT.vrb) [55] (./DogeConfPBT.vrb) [56] (./DogeConfPBT.vrb) [57] (./DogeConfPBT.vrb) [58] (./DogeConfPBT.vrb) [59] (./DogeConfPBT.vrb) [60] (./DogeConfPBT.vrb) [61] No file DogeConfPBT.toc. [62] [63] (./DogeConfPBT.vrb) [64] (./DogeConfPBT.vrb) [65] [66] [67] [68] [69] (./DogeConfPBT.vrb) [70] (./DogeConfPBT.vrb) [71] [72] (./DogeConfPBT.vrb) [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] (./DogeConfPBT.aux) Package rerunfilecheck Warning: File `DogeConfPBT.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ) (see the transcript file for additional information) Output written on DogeConfPBT.pdf (82 pages, 305465 bytes). Transcript written on DogeConfPBT.log. 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(rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ) (see the transcript file for additional information)pdfTeX warning (dest): name {Outline0.4.2.70} has been referenced but does not exist, replaced by a fixed o ne pdfTeX warning (dest): name{Outline0.4.1.64} has been referenced but does not e xist, replaced by a fixed one pdfTeX warning (dest): name{Outline0.3.2.51} has been referenced but does not e xist, replaced by a fixed one pdfTeX warning (dest): name{Outline0.3.1.44} has been referenced but does not e xist, replaced by a fixed one Output written on DogeConfPBT.pdf (83 pages, 353319 bytes). Transcript written on DogeConfPBT.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB /Users/patrick/Desktop/website/static-site-pdfs/EmbedMMIntoTuringMachine.tex - /Users/patrick/Desktop/website/static-site-pdfs/EmbedMMIntoTuringMachine.pdf ~/Desktop/website/static-site-pdfs ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/EmbedMMIntoTuringMachine.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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[3] [4] [5] LaTeX Warning: Reference `mdf@pagelabel-2' on page 6 undefined on input line 18 3. [6] [7] [8] [9] [10] [11] [12] [13] (./EmbedMMIntoTuringMachine.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `EmbedMMIntoTuringMachine.out' has changed . 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[1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texm f-var/fonts/map/pdftex/updmap/pdftex.map}] LaTeX Warning: Reference `mdf@pagelabel-2' on page 2 undefined on input line 79 . [2] [3] [4] (./FriedbergMuchnik.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `FriedbergMuchnik.out' has changed. 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Transcript written on FriedbergMuchnik.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB /Users/patrick/Desktop/website/static-site-pdfs/Tennenbaum.tex - /Users/patrick/Desktop/website/static-site-pdfs/Tennenbaum.pdf ~/Desktop/website/static-site-pdfs ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/Tennenbaum.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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[1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texm f-var/fonts/map/pdftex/updmap/pdftex.map}] [2] LaTeX Warning: Reference `eqn:prop' on page 3 undefined on input line 137. [3] (./Tennenbaum.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `Tennenbaum.out' has changed. 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tex/latex/epstopdf-pkg/epstopdf-base.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/latexconfig/epstopdf-sys.cfg)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/hyperref/nameref.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/refcount/refcount.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/gettitlestring/gettitlestring.sty)) (./Tennenbaum.out) (./Tennenbaum.out) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/ot1lmtt.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/ueuf.fd) [1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texl ive-combined-2021/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] (./Tennenbaum.aux) ){/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-co 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Transcript written on Tennenbaum.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB /Users/patrick/Desktop/website/static-site-pdfs/YonedaWithoutTears.tex - /Users/patrick/Desktop/website/static-site-pdfs/YonedaWithoutTears.pdf ~/Desktop/website/static-site-pdfs ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/YonedaWithoutTears.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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tex/latex/base/atveryend-ltx.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/rerunfilecheck/rerunfilecheck.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/uniquecounter/uniquecounter.sty))) (./YonedaWithoutTears.aux) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsa.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsb.fd) *geometry* driver: auto-detecting *geometry* detected driver: pdftex (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/hyperref/nameref.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/refcount/refcount.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/gettitlestring/gettitlestring.sty)) (./YonedaWithoutTears.out) (./YonedaWithoutTears.out) [1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texli ve-combined-2021/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] Overfull \hbox (14.28758pt too wide) in paragraph at lines 206--208 []\OT1/cmr/m/n/10.95 In gen-eral, the col-lec-tion of $\OMS/cmsy/m/n/10.95 f[]g $ [4] [5] [6] (./YonedaWithoutTears.aux) ) (see the transcript file for additional information) Output written on YonedaWithoutTears.pdf (6 pages, 182380 bytes). 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(/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/pgf/utilities/pgffor.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/pgf/utilities/pgfkeys.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/utilities/pgfkeys.code.tex)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/pgf/math/pgfmath.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/math/pgfmath.code.tex)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/utilities/pgffor.code.tex (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/math/pgfmath.code.tex))) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/frontendlayer/tikz/tikz.code.tex (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/modules/pgfmodulematrix.code.tex) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex))) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/tikz-cd/tikzlibrarycd.code.tex (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarymatrix.code.tex) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryquotes.code.tex) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/pgf/libraries/pgflibraryarrows.meta.code.tex))) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/lmodern.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/ot1lmr.fd) (./RepresentableFunctors.aux) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/omllmm.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/omslmsy.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/omxlmex.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsa.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsb.fd) *geometry* driver: auto-detecting *geometry* detected driver: pdftex (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/hyperref/nameref.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/refcount/refcount.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/gettitlestring/gettitlestring.sty)) (./RepresentableFunctors.out) (./RepresentableFunctors.out) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/ot1lmtt.fd) [1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive -combined-2021/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] [2] (./RepresentableFunctors.aux) ){/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-tex live-combined-2021/share/texmf/fonts/enc/dvips/lm/lm-mathit.enc}{/nix/store/kf1 cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips /lm/lm-rm.enc}{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-202 1/share/texmf/fonts/enc/dvips/lm/lm-rmsc.enc}{/nix/store/kf1cyx9a3pyh4s83glx00v 4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips/lm/lm-mathsy.enc}{ /nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/f onts/enc/dvips/lm/lm-rmtt.enc} Output written on RepresentableFunctors.pdf (2 pages, 224093 bytes). Transcript written on RepresentableFunctors.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB /Users/patrick/Desktop/website/static-site-pdfs/MultiplicativeDetProof.tex - /Users/patrick/Desktop/website/static-site-pdfs/MultiplicativeDetProof.pdf ~/Desktop/website/static-site-pdfs ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/MultiplicativeDetProof.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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tex/latex/hyperref/puenc.def) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/url/url.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/bitset/bitset.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/bigintcalc/bigintcalc.sty)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/base/atbegshi-ltx.sty)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/hyperref/hpdftex.def (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/base/atveryend-ltx.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/rerunfilecheck/rerunfilecheck.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/uniquecounter/uniquecounter.sty))) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/lmodern.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/ot1lmr.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/l3backend/l3backend-pdftex.def) No file MultiplicativeDetProof.aux. (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/omllmm.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/omslmsy.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/omxlmex.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsa.fd) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsfonts/umsb.fd) *geometry* driver: auto-detecting *geometry* detected driver: pdftex (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/context/base/mkii/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/hyperref/nameref.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/refcount/refcount.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/gettitlestring/gettitlestring.sty)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/lm/ot1lmtt.fd) [1{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive -combined-2021/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] [2] (./MultiplicativeDetProof.aux) LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. Package rerunfilecheck Warning: File `MultiplicativeDetProof.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. ){/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texm f/fonts/enc/dvips/lm/lm-mathsy.enc}{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad -texlive-combined-2021/share/texmf/fonts/enc/dvips/lm/lm-rm.enc}{/nix/store/kf1 cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips /lm/lm-mathit.enc}{/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined -2021/share/texmf/fonts/enc/dvips/lm/lm-mathex.enc}{/nix/store/kf1cyx9a3pyh4s83 glx00v4wfap841ad-texlive-combined-2021/share/texmf/fonts/enc/dvips/lm/lm-rmtt.e nc} Output written on MultiplicativeDetProof.pdf (2 pages, 214332 bytes). Transcript written on MultiplicativeDetProof.log. This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/MultiplicativeDetProof.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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Transcript written on ParametricBoundedLoeb2016.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB /Users/patrick/Desktop/website/static-site-pdfs/TokyoEntrance2016.tex - /Users/patrick/Desktop/website/static-site-pdfs/TokyoEntrance2016.pdf ~/Desktop/website/static-site-pdfs ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB This is pdfTeX, Version 3.141592653-2.6-1.40.22 (TeX Live 2021/nixos.org) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode (/Users/patrick/Desktop/website/static-site-pdfs/TokyoEntrance2016.tex LaTeX2e <2021-11-15> patch level 1 L3 programming layer <2022-02-24> (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amscls/amsart.cls Document Class: amsart 2020/05/29 v2.20.6 (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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tex/latex/hyperref/puenc.def) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/url/url.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/bitset/bitset.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/bigintcalc/bigintcalc.sty)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/base/atbegshi-ltx.sty)) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/hyperref/hpdftex.def (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/base/atveryend-ltx.sty) (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/latex/rerunfilecheck/rerunfilecheck.sty (/nix/store/kf1cyx9a3pyh4s83glx00v4wfap841ad-texlive-combined-2021/share/texmf/ tex/generic/uniquecounter/uniquecounter.sty))) 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Transcript written on TokyoEntrance2016.log. ~/Desktop/website/static-site-pdfs/tmp.8aCej2U0rB