Theorems · Theorem · order theory

Filter.bliminf_antitone

∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] {f : Filter β} {p q : β → Prop} {u : β → α},
  (∀ (x : β), p x → q x) → Filter.bliminf u f q ≤ Filter.bliminf u f p

Defined in

Mathlib.Order.LiminfLimsup

Cited by

0 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompleteLattice