correspondence_preimage_mono

Mathlib.Algebra.Group.Correspondence.Order

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 (n_normal : @NormalSubgroupLawArgs.{succ u} G one mul inv N), forall (K : forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), Prop), forall (K2 : forall (q : @NormalQuot.{u} G one mul inv N group_args n_normal), Prop), forall (k_le : @SubgroupLe.{succ u} (@NormalQuot.{u} G one mul inv N group_args n_normal) K K2), @SubgroupLe.{succ u} G (@CorrespondencePreimagePred.{u} G one mul inv N group_args n_normal K) (@CorrespondencePreimagePred.{u} G one mul inv N group_args n_normal K2)

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun n_normal => fun K => fun K2 => fun k_le => fun (x : G) => fun (hx : @CorrespondencePreimagePred.{u} G one mul inv N group_args n_normal K x) => k_le (@NormalQuotMk.{u} G one mul inv N group_args n_normal x) hx

Constants

Mathlib.Algebra.Group.Basic.GroupLawArgs

Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db

Mathlib.Algebra.Group.Correspondence.Basic.CorrespondencePreimagePred

Interface hash: sha256:a40a9d58a6d286acdfc610e5856c597628226f5b08396174ab687230e60c0905

Mathlib.Algebra.Group.Quotient.NormalQuot

Interface hash: sha256:ac0d31805001e1ea1fe46e644b7187eb3e256364063df8dec29e9007eb5b31e4

Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs

Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8

Mathlib.Algebra.Group.Subgroup.Order.SubgroupLe

Interface hash: sha256:1c1a322d29a34a2193af3558aa77dfbdd8783a6bfcf4e6fe3e2de1960a77725d