Theorems · Theorem · logic and foundations
Ordinal.card_eq_nat
∀ {o : Ordinal.{u_1}} {n : ℕ}, o.card = ↑n ↔ o = ↑n- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Ordinal.cardstatement · cited by 122
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.type_fintypeproof · cited by 4
- Ordinal.card_eq_zeroproof · cited by 1
- Ordinal.card_eq_ofNatproof · cited by 0
- Ordinal.card_eq_oneproof · cited by 0