Theorems · Theorem · order theory

supClosure_prod

∀ {α : Type u_3} {β : Type u_4} [inst : SemilatticeSup α] [inst_1 : SemilatticeSup β] (s : Set α) (t : Set β),
  supClosure (s ×ˢ t) = supClosure s ×ˢ supClosure t

Defined in

Mathlib.Order.SupClosed

Cited by

1 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemilatticeSupSemilatticeSup