Theorems · Definition · group theory

Submonoid.comap

{M : Type u_1} →
  {N : Type u_2} →
    [inst : MulOneClass M] →
      [inst_1 : MulOneClass N] →
        {F : Type u_4} → [inst_2 : FunLike F M N] → [mc : MonoidHomClass F M N] → F → Submonoid N → Submonoid M

The preimage of a Submonoid along a MonoidHom is a Submonoid.

Defined in

Mathlib.Algebra.Group.Submonoid.Operations

Cited by

179 results in Mathlib

Foundations

Depth 15 from the axioms, rests on 57 definitions · uses no axioms

Assumes

MulOneClassMulOneClassFunLikeMonoidHomClass