Mathlib Map

Theorems · Definition · group theory

AddMonoidHom.addSubmonoidComap

{M : Type u_1} →
  {N : Type u_2} →
    [inst : AddZeroClass M] →
      [inst_1 : AddZeroClass N] → (f : M →+ N) → (N' : AddSubmonoid N) → ↥(AddSubmonoid.comap f N') →+ ↥N'

The AddMonoidHom from the preimage of an AddSubmonoid to itself.

Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses no axioms
Assumes
AddZeroClassAddZeroClass
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Around this declaration

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

AddMonoidHom.addSubgroupComap · cited by 2AddMonoidHom.addSubgroupC…AddMonoidHom.addSubmonoidComap_apply_coe · cited by 1AddMonoidHom.addSubmonoid…AddMonoidHom.addSubmonoidComap_surjective_of_surjective · cited by 1AddMonoidHom.addSubmonoid…DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.comap · cited by 62AddSubmonoid.comapAddMonoidHom.addSubmonoidComapCITED BYCITES

Cites5

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Cited by3

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