Theorems · Theorem · general topology

IsMaxFilter.comp_antitone

∀ {α : Type u} {β : Type v} {γ : Type w} [inst : Preorder β] [inst_1 : Preorder γ] {f : α → β} {l : Filter α} {a : α},
  IsMaxFilter f l a → ∀ {g : β → γ}, Antitone g → IsMinFilter (g ∘ f) l a

Defined in

Mathlib.Order.Filter.Extr

Cited by

4 results in Mathlib

Foundations

Depth 16 from the axioms · uses Quot.sound

Assumes

PreorderPreorder