Theorems · Theorem · order theory

OrderIso.map_sup

∀ {α : Type u_2} {β : Type u_3} [inst : SemilatticeSup α] [inst_1 : SemilatticeSup β] (f : α ≃o β) (x y : α),
  f (x ⊔ y) = f x ⊔ f y

Defined in

Mathlib.Order.Hom.Basic

Cited by

37 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

SemilatticeSupSemilatticeSup