Theorems · Definition · group theory
Set.commSemigroup
{α : Type u_2} → [CommSemigroup α] → CommSemigroup (Set α)Set α is a CommSemigroup under pointwise operations if α is.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Semigroupproof · cited by 202
- CommSemigroupstatement and proof · cited by 62
- Set.semigroupproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- Set.commMonoidproof · cited by 21
- Set.divisionCommMonoidproof · cited by 0