Theorems · Theorem · logic and foundations
Ordinal.card_mul
∀ (a b : Ordinal.{u_4}), (a * b).card = a.card * b.card- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- mul_commproof · cited by 2,262
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkproof · cited by 942
- IsWellOrderproof · cited by 171
- Ordinal.cardstatement and proof · cited by 122
- WellOrderproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.card_opow_le_of_omega0_le_leftproof · cited by 3
- Ordinal.isPrincipal_mul_ordproof · cited by 2
- Cardinal.IsInaccessible.beth_ordproof · cited by 2