normal_quot_sound

Mathlib.Algebra.Group.Quotient

Packages

Module

Theorem

750

Declarations

1016

信頼境界外の sidecar

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Statement

forall (G : Sort succ u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), forall (N : forall (x : G), Prop), forall (group_args : @GroupLawArgs.{succ u} G one mul inv), forall (normal_args : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (a : G), forall (b : G), forall (h : @NormalRel.{succ u} G one mul inv N a b), @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMk.{u} G one mul inv N group_args normal_args a) (@NormalQuotMk.{u} G one mul inv N group_args normal_args b)

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun a => fun b => fun h => @Quotient.sound.{u} G (@NormalSetoid.{u} G one mul inv N group_args normal_args) a b h

Constants

Mathlib.Algebra.Group.Basic.GroupLawArgs

Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db

Mathlib.Algebra.Group.Quotient.NormalQuot

Interface hash: sha256:ac0d31805001e1ea1fe46e644b7187eb3e256364063df8dec29e9007eb5b31e4

Mathlib.Algebra.Group.Quotient.NormalQuotMk

Interface hash: sha256:4a730a1db38d5b5362787ead7697f2eff1ea187c9a89ef87923ebc0d611bfd41

Mathlib.Algebra.Group.Subgroup.NormalRel

Interface hash: sha256:9846c2dd7eb15da07ecbeb78644532226c8ce50cf7ddf9c0f7a2bd5cbb7bc58e

Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs

Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8

Std.Logic.Eq.Eq

Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015