Mathlib Map

Theorems · Theorem · general topology

Filter.EventuallyLE.iInter

∀ {α : Type u} {ι : Sort x} {l : Filter α} [Finite ι] {s t : ι → Set α},
  (∀ (i : ι), s i ≤ᶠ[l] t i) → ⋂ i, s i ≤ᶠ[l] ⋂ i, t i
Defined in
Mathlib.Order.Filter.Finite
Cited by
2 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Finite
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.Finite.eventuallyLE_iInter · cited by 1Finite.eventuallyLE_iInterFilter.EventuallyEq.iInter · cited by 0EventuallyEq.iInterSet · cited by 53352SetFilter · cited by 8121FilterFinite · cited by 3029FiniteSet.iInter · cited by 1084Set.iInterFilter.Eventually.mono · cited by 646Eventually.monoFilter.EventuallyLE · cited by 383Filter.EventuallyLESet.mem_iInter · cited by 69Set.mem_iInterFilter.eventually_all · cited by 16Filter.eventually_allEventuallyLE.iInterCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.