Theorems · Theorem · logic and foundations
Order.cof_eq_cardinalMk
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : WellFoundedLT α] [IsRegularCardinalOrder α],
Order.cof α = Cardinal.mk α- Cited by
- 6 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Cardinalstatement and proof · cited by 2,598
- Ordinalproof · cited by 1,688
- Cardinal.mkstatement · cited by 942
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.cardproof · cited by 122
- Order.cofstatement and proof · cited by 86
- Cardinal.card_ordproof · cited by 23
- IsRegularCardinalOrderstatement and proof · cited by 17
- Ordinal.card_typeproof · cited by 7
- Order.ord_cof_eq_type_ltproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Order.cof_ordinalproof · cited by 1
- Cardinal.ord_cardinalMkproof · cited by 1
- Ordinal.eventuallyConst_of_monotoneproof · cited by 1
- Cardinal.eventuallyConst_of_monotoneproof · cited by 1
- Order.cof_cardinalproof · cited by 0
- Order.type_eq_of_isCofinalproof · cited by 0