Theorems · Definition · group theory

AddMonoidHom.domRestrict

{M : Type u_1} →
  [inst : AddZeroClass M] →
    {N : Type u_5} →
      {S : Type u_6} →
        [inst_1 : AddZeroClass N] →
          [inst_2 : SetLike S M] → [inst_3 : AddSubmonoidClass S M] → (M →+ N) → (s : S) → ↥s →+ N

Restriction of an AddMonoidHom to an AddSubmonoid of the domain.

Defined in

Mathlib.Algebra.Group.Submonoid.Operations

Cited by

35 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClassSetLikeAddSubmonoidClass