Theorems · Theorem · order theory

Order.IsNormal.map_isLUB

∀ {α : Type u_1} {β : Type u_2} {a : α} {f : α → β} [inst : LinearOrder α] [inst_1 : LinearOrder β],
  Order.IsNormal f → ∀ {s : Set α}, IsLUB s a → s.Nonempty → IsLUB (f '' s) (f a)

Defined in

Mathlib.Order.IsNormal

Cited by

3 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderLinearOrder