Theorems · Definition · general topology
Filter.addSemigroup
{α : Type u_2} → [AddSemigroup α] → AddSemigroup (Filter α)Filter α is an AddSemigroup under pointwise operations if α is.
- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddSemigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- AddSemigroupstatement and proof · cited by 136
Cited by2
Results whose statement or proof uses this declaration.
- Filter.addMonoidproof · cited by 3
- Filter.addCommSemigroupproof · cited by 0