Theorems · Theorem · general topology
Filter.mem_inf_of_right
∀ {α : Type u} {f g : Filter α} {s : Set α}, s ∈ g → s ∈ f ⊓ g- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 10 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.univ_interproof · cited by 258
- Filter.univ_memproof · cited by 96
Cited by10
Results whose statement or proof uses this declaration.
- self_mem_nhdsWithinproof · cited by 215
- eventually_nhdsWithin_of_forallproof · cited by 18
- ContinuousWithinAt.tendsto_nhdsWithinproof · cited by 16
- eventuallyEq_nhdsWithin_of_eqOnproof · cited by 4
- HasMFDerivWithinAt.congr_monoproof · cited by 3
- UniformEquicontinuousOn.closure'proof · cited by 2
- existsUnique_eq_principal_sup_freeproof · cited by 1
- Filter.Tendsto.uniformContinuousOn_of_uniformEquicontinuousOnproof · cited by 1
- Ultrafilter.ofComapInfPrincipal_memproof · cited by 0
- completeSpace_extensionproof · cited by 0