Theorems · Theorem · general topology

Filter.HasBasis.to_hasBasis

∀ {α : Type u_1} {ι : Sort u_4} {ι' : Sort u_5} {l : Filter α} {p : ι → Prop} {s : ι → Set α} {p' : ι' → Prop}
  {s' : ι' → Set α},
  l.HasBasis p s →
    (∀ (i : ι), p i → ∃ i', p' i' ∧ s' i' ⊆ s i) → (∀ (i' : ι'), p' i' → ∃ i, p i ∧ s i ⊆ s' i') → l.HasBasis p' s'

Defined in

Mathlib.Order.Filter.Bases.Basic

Cited by

40 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound