Theorems · Definition · group theory
Set.addCommSemigroup
{α : Type u_2} → [AddCommSemigroup α] → AddCommSemigroup (Set α)Set α is an AddCommSemigroup 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
- AddCommSemigroup
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
- AddCommSemigroupstatement and proof · cited by 178
- AddSemigroupproof · cited by 136
- Set.addSemigroupproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- Set.addCommMonoidproof · cited by 25
- Set.subtractionCommMonoidproof · cited by 0