Theorems · Theorem · general topology
Filter.mem_inf_of_inter
∀ {α : Type u} {f g : Filter α} {s t u : Set α}, s ∈ f → t ∈ g → s ∩ t ⊆ u → u ∈ f ⊓ g- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, 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
- Filterstatement and proof · cited by 8,121
- Filter.mem_of_supersetproof · cited by 308
- Filter.inter_mem_infproof · cited by 11
Cited by6
Results whose statement or proof uses this declaration.
- Filter.mem_prod_iffproof · cited by 21
- Filter.push_pullproof · cited by 7
- Filter.map_infproof · cited by 5
- Filter.HasBasis.inf'proof · cited by 3
- IsCompact.compl_mem_sets_of_nhdsWithinproof · cited by 2
- Filter.mem_inf_iff_supersetproof · cited by 1