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Theorems · Definition · group theory

MonoidHom.submonoidComap

{M : Type u_1} →
  {N : Type u_2} →
    [inst : MulOneClass M] →
      [inst_1 : MulOneClass N] → (f : M →* N) → (N' : Submonoid N) → ↥(Submonoid.comap f N') →* ↥N'

The MonoidHom from the preimage of a Submonoid to itself.

Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
3 results in Mathlib
Foundations
Depth 18 from the axioms · uses no axioms
Assumes
MulOneClassMulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.SubmonoidFunctor.toFunctor · cited by 8SubmonoidFunctor.toFunctorMonoidHom.subgroupComap · cited by 2MonoidHom.subgroupComapMonoidHom.submonoidComap_apply_coe · cited by 1MonoidHom.submonoidComap_…MonoidHom.submonoidComap_surjective_of_surjective · cited by 1MonoidHom.submonoidComap_…CategoryTheory.SubmonoidFunctor.toFunctor_map · cited by 0SubmonoidFunctor.toFuncto…DFunLike.coe · cited by 62936DFunLike.coeMonoidHom · cited by 3629MonoidHomSubmonoid · cited by 3086SubmonoidMulOneClass · cited by 1018MulOneClassSubmonoid.comap · cited by 179Submonoid.comapMonoidHom.submonoidComapCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.