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Declaration
first_isomorphism_theorem_evidence
Mathlib.Algebra.Group.FirstIsomorphism.Image
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 (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 (group_args : @GroupLawArgs.{succ u} G oneG mulG invG), forall (hom_args : @GroupHomLawArgs.{succ u,succ v} G oneG mulG invG H oneH mulH invH f), @FirstIsoTheoremEvidence.{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 group_args => fun hom_args => @FirstIsoTheoremEvidence.mk.{u,v} G oneG mulG invG H oneH mulH invH f hom_args (@first_iso_quotient_group_evidence.{u,v} G oneG mulG invG H oneH mulH invH f group_args hom_args) (@first_iso_image_group_evidence.{u,v} G oneG mulG invG H oneH mulH invH f hom_args) (@first_iso_phi_mul.{u,v} G oneG mulG invG H oneH mulH invH f hom_args) (@first_iso_phi_injective.{u,v} G H f) (@first_iso_phi_hits_image.{u,v} G H f) (@first_iso_phi_surj_image.{u,v} G H f)
Constants
Mathlib.Algebra.Group.Basic.GroupHomLawArgs
Interface hash: sha256:2991d80d7b6ba372e78a2481565ce13cd1438fdfe94ebda3febafcb8b0123ac2
Mathlib.Algebra.Group.Basic.GroupLawArgs
Interface hash: sha256:2d87332e5e2af4c4567f00f441f3a30fa8780563655728bc695cf467701fd8db
Mathlib.Algebra.Group.FirstIsomorphism.Image.FirstIsoTheoremEvidence
Interface hash: sha256:cc096b4ec5e8e5e9cacd17bdbe99be6a830ed1b8910954bbe032a9187c957b9b