Theorems · Theorem · logic and foundations

Order.ord_cof_eq_type_lt

∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : WellFoundedLT α] [IsRegularCardinalOrder α],
  (Order.cof α).ord = Ordinal.type fun x1 x2 => x1 < x2

Defined in

Mathlib.SetTheory.Cardinal.Cofinality.Enum

Cited by

2 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderWellFoundedLTIsRegularCardinalOrder