Mathlib Map

Theorems · Theorem · group theory

Subgroup.comap_id

∀ {N : Type u_5} [inst : Group N] (K : Subgroup N), Subgroup.comap (MonoidHom.id N) K = K
Defined in
Mathlib.Algebra.Group.Subgroup.Map
Cited by
3 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

QuotientGroup.map_id · cited by 1QuotientGroup.map_idQuotientGroup.map_id_apply · cited by 1QuotientGroup.map_id_applyMatrix.ProjGenLinGroup.map_id · cited by 0ProjGenLinGroup.map_idGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMonoidHom.id · cited by 323MonoidHom.idSubgroup.comap · cited by 154Subgroup.comapSubgroup.ext · cited by 108Subgroup.extSubgroup.comap_idCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.