Theorems · Theorem · general topology
Ultrafilter.sdiff_mem_iff
∀ {α : Type u} {s t : Set α} (f : Ultrafilter α), s \ t ∈ f ↔ s ∈ f ∧ t ∉ f- Defined in
- Mathlib.Order.Filter.Ultrafilter.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.compl_mem_iff_notMemproof · cited by 9
- Filter.inter_mem_iffproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Ultrafilter.diff_mem_iffproof · cited by 0