Theorems · Definition · general topology
Filter.subtractionMonoid
{α : Type u_2} → [SubtractionMonoid α] → SubtractionMonoid (Filter α)Filter α is a subtraction monoid under pointwise operations if α is.
- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- AddMonoidproof · cited by 2,864
- SubtractionMonoidstatement and proof · cited by 208
- InvolutiveNegproof · cited by 151
- Filter.addMonoidproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Filter.subtractionCommMonoidproof · cited by 0