Theorems · Theorem · logic and foundations

Order.enum_anti

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : WellFoundedLT α] [inst_2 : IsRegularCardinalOrder α] {s : Set α}
  {hs : IsCofinal s} {t : Set α} {x : α} (h : s ⊆ t), ↑((Order.enum t ⋯) x) ≤ ↑((Order.enum s hs) x)

Defined in

Mathlib.SetTheory.Cardinal.Cofinality.Enum

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderWellFoundedLTIsRegularCardinalOrder