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Declaration

first_iso_image_group_evidence

Mathlib.Algebra.Group.FirstIsomorphism.Image

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 (oneG : G), forall (mulG : forall (a : G), forall (b : G), G), forall (invG : forall (a : G), G), forall (H : Sort succ v), forall (oneH : H), forall (mulH : forall (a : H), forall (b : H), H), forall (invH : forall (a : H), H), forall (f : forall (x : G), H), forall (hom_args : @GroupHomLawArgs.{succ u,succ v} G oneG mulG invG H oneH mulH invH f), @FirstIsoImageGroupEvidence.{u,v} G oneG mulG invG H oneH mulH invH f hom_args

Proof term

fun G => fun oneG => fun mulG => fun invG => fun H => fun oneH => fun mulH => fun invH => fun f => fun hom_args => @FirstIsoImageGroupEvidence.mk.{u,v} G oneG mulG invG H oneH mulH invH f hom_args (@image_one.{succ u,succ v} G oneG mulG invG H oneH mulH invH f hom_args) (@image_mul_closed.{succ u,succ v} G oneG mulG invG H oneH mulH invH f hom_args) (@image_inv_closed.{succ u,succ v} G oneG mulG invG H oneH mulH invH f hom_args)

Constants