Theorems · Definition · group theory

Subsemigroup.prod

{M : Type u_1} →
  {N : Type u_2} → [inst : Mul M] → [inst_1 : Mul N] → Subsemigroup M → Subsemigroup N → Subsemigroup (M × N)

Given Subsemigroups s, t of semigroups M, N respectively, s × t as a subsemigroup of M × N.

Defined in

Mathlib.Algebra.Group.Subsemigroup.Operations

Cited by

11 results in Mathlib

Foundations

Depth 11 from the axioms · uses no axioms

Assumes

MulMul