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Lots of speedups (#116)

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This commit is contained in:
Patrick Stevens
2020-04-16 13:41:51 +01:00
committed by GitHub
parent 1bcb3f8537
commit 9b80058157
63 changed files with 1082 additions and 564 deletions
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6
Fields/CauchyCompletion/Ring.agda
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@@ -9,7 +9,8 @@ open import Groups.Lemmas
open import Fields.Fields
open import Sets.EquivalenceRelations
open import Sequences
open import Setoids.Orders
open import Setoids.Orders.Partial.Definition
open import Setoids.Orders.Total.Definition
open import Functions
open import LogicalFormulae
open import Numbers.Naturals.Semiring
@@ -27,6 +28,7 @@ open Field F
open Group (Ring.additiveGroup R)
open import Rings.Orders.Total.Lemmas order
open import Rings.Orders.Total.AbsoluteValue order
open import Fields.CauchyCompletion.Definition order F
open import Fields.CauchyCompletion.Multiplication order F
open import Fields.CauchyCompletion.Addition order F
@@ -57,7 +59,7 @@ CRing : Ring cauchyCompletionSetoid _+C_ _*C_
Ring.additiveGroup CRing = CGroup
Ring.*WellDefined CRing {a} {b} {c} {d} r=t s=u = multiplicationWellDefined {a} {c} {b} {d} r=t s=u
Ring.1R CRing = injection (Ring.1R R)
Ring.groupIsAbelian CRing {a} {b} = +CCommutative {a} {b}
Ring.groupIsAbelian CRing {a} {b} = +CCommutative a b
Ring.*Associative CRing {a} {b} {c} = c*Assoc {a} {b} {c}
Ring.*Commutative CRing {a} {b} = *CCommutative {a} {b}
Ring.*DistributesOver+ CRing {a} {b} {c} = *CDistribute {a} {b} {c}