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Theorems · Definition · group theory

AddHom.domRestrict

{M : Type u_1} →
  {σ : Type u_4} →
    [inst : Add M] →
      {N : Type u_5} →
        [inst_1 : Add N] → [inst_2 : SetLike σ M] → [inst_3 : AddMemClass σ M] → (M →ₙ+ N) → (S : σ) → ↥S →ₙ+ N

Restriction of an AddSemigroup hom to an AddSubsemigroup of the domain.

Defined in
Mathlib.Algebra.Group.Subsemigroup.Operations
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
AddAddSetLikeAddMemClass
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Around this declaration

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

AddHom.domRestrict_apply · cited by 1AddHom.domRestrict_applyAddHom.restrict · cited by 0AddHom.restrictAddHom.restrict_apply · cited by 0AddHom.restrict_applySetLike · cited by 1084SetLikeAddHom · cited by 294AddHomAddHom.comp · cited by 37AddHom.compAddMemClass · cited by 17AddMemClassAddMemClass.subtype · cited by 5AddMemClass.subtypeAddHom.domRestrictCITED BYCITES

Cites5

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Cited by3

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