Mathlib Map

Theorems · Theorem · group theory

AddSubgroup.comap_comap

∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] {P : Type u_6} [inst_2 : AddGroup P]
  (K : AddSubgroup P) (g : N →+ P) (f : G →+ N),
  AddSubgroup.comap f (AddSubgroup.comap g K) = AddSubgroup.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
AddGroupAddGroupAddGroup
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Around this declaration

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

AddSubgroup.relIndex_comap · cited by 7AddSubgroup.relIndex_comapQuotientAddGroup.map_map · cited by 1QuotientAddGroup.map_mapQuotientAddGroup.map_comp_map · cited by 0QuotientAddGroup.map_comp…AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomAddMonoidHom.comp · cited by 339AddMonoidHom.compAddSubgroup.comap · cited by 123AddSubgroup.comapAddSubgroup.comap_comapCITED BYCITES

Cites5

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Cited by3

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