Theorems · Theorem · general topology

inf_eq_of_isMinOn

∀ {α : Type u} {β : Type v} [inst : SemilatticeInf β] [inst_1 : OrderTop β] {D : α → β} {s : Finset α} {a : α},
  a ∈ s → IsMinOn D (↑s) a → s.inf D = D a

Defined in

Mathlib.Order.Filter.Extr

Cited by

0 results in Mathlib

Foundations

Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemilatticeInfOrderTop