Theorems · Theorem · group theory

Subsemigroup.map_map

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : Mul M] [inst_1 : Mul N] [inst_2 : Mul P] (S : Subsemigroup M)
  (g : N →ₙ* P) (f : M →ₙ* N), Subsemigroup.map g (Subsemigroup.map f S) = Subsemigroup.map (g.comp f) S

Defined in

Mathlib.Algebra.Group.Subsemigroup.Operations

Cited by

1 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext, Quot.sound

Assumes

MulMulMul