Theorems · Theorem · order theory

Finset.inf_product_left

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : SemilatticeInf α] [inst_1 : OrderTop α] (s : Finset β)
  (t : Finset γ) (f : β × γ → α), (s ×ˢ t).inf f = s.inf fun i => t.inf fun i' => f (i, i')

Defined in

Mathlib.Data.Finset.Lattice.Prod

Cited by

2 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemilatticeInfOrderTop