Declaration
second_iso_phi_inv
Mathlib.Algebra.Group.SecondIsomorphism.Map
Packages
2
Module
63
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 (Hpred : forall (x : G), Prop), forall (h_args : @SubgroupLawArgs.{succ u} G one mul inv Hpred), forall (h : G), forall (hh : Hpred h), @Eq.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotInv.{u} G one mul inv N group_args normal_args (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred h hh)) (@SecondIsoPhi.{u} G one mul inv N group_args normal_args Hpred (inv h) (@subgroup_inv_closed.{succ u} G one mul inv Hpred h_args h hh))
Proof term
fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun h_args => fun h => fun hh => @Eq.refl.{succ u} (@NormalQuot.{u} G one mul inv N group_args normal_args) (@NormalQuotMk.{u} G one mul inv N group_args normal_args (inv h))
Constants
Mathlib.Algebra.Group.Basic.GroupLawArgs
Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db
Mathlib.Algebra.Group.Quotient.NormalQuot
Interface hash: sha256:ac0d31805001e1ea1fe46e644b7187eb3e256364063df8dec29e9007eb5b31e4
Mathlib.Algebra.Group.Quotient.Group.NormalQuotInv
Interface hash: sha256:48c57585d84f854e4b883ace7c853e387b1b08401e853aae45343b2bc35b3103
Mathlib.Algebra.Group.SecondIsomorphism.Map.SecondIsoPhi
Interface hash: sha256:11191a2774229a7c804a8ee3feb1f034a6638450f99aa4698bf9ae564bc3eea9
Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs
Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8
Mathlib.Algebra.Group.Subgroup.SubgroupLawArgs
Interface hash: sha256:ab8653cb757048257bdb25d2e3319a7cc9476c36a6a5c1e17a97e8bdc2962a8c
Mathlib.Algebra.Group.Subgroup.subgroup_inv_closed
Interface hash: sha256:4810f66475a48308d5576b8031160b537828d4f5e6e1888772a7df8bca8f2f2b
Std.Logic.Eq.Eq
Interface hash: sha256:ca4f8520fd678a809c3ebf0bc7fa38d3063ca4d231e79d567de888685449a015