Theorems · Theorem · general topology

IsMinFilter.bicomp_mono

∀ {α : Type u} {β : Type v} {γ : Type w} {δ : Type x} [inst : Preorder β] [inst_1 : Preorder γ] {f : α → β}
  {l : Filter α} {a : α} [inst_2 : Preorder δ] {op : β → γ → δ},
  Relator.LiftFun (fun x1 x2 => x1 ≤ x2) (Relator.LiftFun (fun x1 x2 => x1 ≤ x2) fun x1 x2 => x1 ≤ x2) op op →
    IsMinFilter f l a → ∀ {g : α → γ}, IsMinFilter g l a → IsMinFilter (fun x => op (f x) (g x)) l a

Defined in

Mathlib.Order.Filter.Extr

Cited by

8 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

PreorderPreorderPreorder