Theorems · Definition · group theory
Set.divisionCommMonoid
{α : Type u_2} → [DivisionCommMonoid α] → DivisionCommMonoid (Set α)Set α is a commutative division monoid under pointwise operations if α is.
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- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionCommMonoid
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- DivisionMonoidproof · cited by 201
- DivisionCommMonoidstatement and proof · cited by 80
- CommSemigroupproof · cited by 62
- Set.divisionMonoidproof · cited by 0
- Set.commSemigroupproof · cited by 0
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