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Rename some confusing fields (#51)

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Patrick Stevens
2019-10-13 09:31:54 +01:00
committed by GitHub
parent 96d15c6017
commit 959071214e
21 changed files with 441 additions and 441 deletions
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Rings/IntegralDomains.agda
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@@ -27,7 +27,7 @@ module Rings.IntegralDomains where
t1 : (a * b) + Group.inverse (Ring.additiveGroup R) (a * c) ∼ Ring.0R R
t1 = transferToRight'' (Ring.additiveGroup R) ab=ac
t2 : a * (b + Group.inverse (Ring.additiveGroup R) c) ∼ Ring.0R R
t2 = transitive (transitive (Ring.multDistributes R) (Group.wellDefined (Ring.additiveGroup R) reflexive (transferToRight' (Ring.additiveGroup R) (transitive (symmetric (Ring.multDistributes R)) (transitive (Ring.multWellDefined R reflexive (Group.invLeft (Ring.additiveGroup R))) (ringTimesZero R)))))) t1
t2 = transitive (transitive (Ring.*DistributesOver+ R) (Group.+WellDefined (Ring.additiveGroup R) reflexive (transferToRight' (Ring.additiveGroup R) (transitive (symmetric (Ring.*DistributesOver+ R)) (transitive (Ring.*WellDefined R reflexive (Group.invLeft (Ring.additiveGroup R))) (Ring.timesZero R)))))) t1
t3 : (a ∼ Ring.0R R) || ((b + Group.inverse (Ring.additiveGroup R) c) ∼ Ring.0R R)
t3 = IntegralDomain.intDom I t2
t4 : (a ∼ Ring.0R R) || (b ∼ c)