Theorems · Theorem · general topology
Filter.mem_inf_of_left
∀ {α : Type u} {f g : Filter α} {s : Set α}, s ∈ f → s ∈ f ⊓ g- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 48 from the axioms · uses propext, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.univproof · cited by 3,945
- Set.inter_univproof · cited by 198
- Filter.univ_memproof · cited by 96
Cited by4
Results whose statement or proof uses this declaration.
- mem_nhdsWithin_of_mem_nhdsproof · cited by 50
- inter_mem_nhdsWithinproof · cited by 46
- nhdsWithin_restrict'proof · cited by 7
- completeSpace_extensionproof · cited by 0