Theorems · Theorem · general topology

IsMinFilter.inf

∀ {α : Type u} {β : Type v} [inst : SemilatticeInf β] {f g : α → β} {a : α} {l : Filter α},
  IsMinFilter f l a → IsMinFilter g l a → IsMinFilter (fun x => f x ⊓ g x) l a

Defined in

Mathlib.Order.Filter.Extr

Cited by

3 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

SemilatticeInf