Mathlib Map

Theorems · Theorem · general topology

Filter.eventually_iSup

∀ {α : Type u} {ι : Sort x} {p : α → Prop} {fs : ι → Filter α},
  (∀ᶠ (x : α) in ⨆ b, fs b, p x) ↔ ∀ (b : ι), ∀ᶠ (x : α) in fs b, p x
Defined in
Mathlib.Order.Filter.Basic
Cited by
1 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

BoxIntegral.IntegrationParams.eventually_isPartition · cited by 1IntegrationParams.eventua…Filter · cited by 8121FilterFilter.Eventually · cited by 3134Filter.EventuallyiSup · cited by 2415iSupFilter.mem_iSup · cited by 3Filter.mem_iSupFilter.eventually_iSupCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.