Theorems · Theorem · order theory

Order.IsNormal.of_succ_lt

∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : LinearOrder α] [WellFoundedLT α] [inst_2 : SuccOrder α]
  [inst_3 : LinearOrder β],
  (∀ (a : α), f a < f (Order.succ a)) →
    (∀ {a : α}, Order.IsSuccLimit a → IsLUB (f '' Set.Iio a) (f a)) → Order.IsNormal f

Defined in

Mathlib.Order.IsNormal

Cited by

4 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderWellFoundedLTSuccOrderLinearOrder