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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
Mathlib.Algebra.Group.Basic.GroupLawArgs
Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db
Mathlib.Algebra.Group.SecondIsomorphism.SecondIsoImageEvidence
Interface hash: sha256:7b6094155ed3c1dddf8507493f57c89593298d9cdb6fae437b7a6c7ff363c624
Mathlib.Algebra.Group.Subgroup.NormalSubgroupLawArgs
Interface hash: sha256:808ae35e6b38f18f2fa58c14eebebbc2e93b11d1887b258bff2cea4daf9d9fb8