Theorems · Theorem · general topology

IsMaxFilter.filter_mono

∀ {α : Type u} {β : Type v} [inst : Preorder β] {f : α → β} {l : Filter α} {a : α} {l' : Filter α},
  IsMaxFilter f l a → l' ≤ l → IsMaxFilter f l' a

Defined in

Mathlib.Order.Filter.Extr

Cited by

6 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Quot.sound

Assumes

Preorder