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Theorems · Definition · group theory

Subsemigroup.prodEquiv

{M : Type u_1} →
  {N : Type u_2} →
    [inst : Mul M] → [inst_1 : Mul N] → (s : Subsemigroup M) → (t : Subsemigroup N) → ↥(s.prod t) ≃* ↥s × ↥t

The product of subsemigroups is isomorphic to their product as semigroups.

Defined in
Mathlib.Algebra.Group.Subsemigroup.Operations
Cited by
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Foundations
Depth 13 from the axioms · uses no axioms
Assumes
MulMul

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