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Declaration

second_iso_image_evidence

Mathlib.Algebra.Group.SecondIsomorphism

Packages

2

Module

63

Theorems

750

Declarations

1016

Untrusted sidecar

Source text and display overlays are presentation metadata. The signed certificate and checker result are the trusted evidence.

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), @SecondIsoImageEvidence.{u} G one mul inv N group_args normal_args Hpred

Proof term

fun G => fun one => fun mul => fun inv => fun N => fun group_args => fun normal_args => fun Hpred => fun (P : Prop) => fun (mk : forall (image_to_product : forall (q : @NormalQuot.{u} G one mul inv N group_args normal_args), forall (img : @SecondIsoImagePred.{u} G one mul inv N group_args normal_args Hpred q), @SecondIsoProductQuotPred.{u} G one mul inv N group_args normal_args Hpred q), forall (product_to_image : forall (q : @NormalQuot.{u} G one mul inv N group_args normal_args), forall (prod : @SecondIsoProductQuotPred.{u} G one mul inv N group_args normal_args Hpred q), @SecondIsoImagePred.{u} G one mul inv N group_args normal_args Hpred q), P) => mk (@second_iso_image_to_product_quot.{u} G one mul inv N group_args normal_args Hpred) (@second_iso_product_quot_to_image.{u} G one mul inv N group_args normal_args Hpred)

Constants