Theorems · Theorem · general topology
Filter.add_mem_add
∀ {α : Type u_2} [inst : Add α] {f g : Filter α} {s t : Set α}, s ∈ f → t ∈ g → s + t ∈ f + g- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
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
- Filterstatement and proof · cited by 8,121
- Set.addstatement · cited by 338
- Filter.image2_mem_map₂proof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- Filter.add_eq_zero_iffproof · cited by 1