Theorems · Theorem · general topology

IsMaxFilter.comp_mono

∀ {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}, Monotone g → IsMaxFilter (g ∘ f) l a

Defined in

Mathlib.Order.Filter.Extr

Cited by

5 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

PreorderPreorder