Mathlib Map

Theorems · Theorem · group theory

Subgroup.comap_comap

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] {P : Type u_6} [inst_2 : Group P] (K : Subgroup P)
  (g : N →* P) (f : G →* N), Subgroup.comap f (Subgroup.comap g K) = Subgroup.comap (g.comp f) 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
GroupGroupGroup
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Around this declaration

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

Subgroup.relIndex_comap · cited by 7Subgroup.relIndex_comapQuotientGroup.map_map · cited by 1QuotientGroup.map_mapQuotientGroup.map_comp_map · cited by 0QuotientGroup.map_comp_mapGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupMonoidHom.comp · cited by 469MonoidHom.compSubgroup.comap · cited by 154Subgroup.comapSubgroup.comap_comapCITED 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.