Theorems · Theorem · logic and foundations
Cardinal.ord_card_le
∀ (o : Ordinal.{u_1}), o.card.ord ≤ o- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- Cardinal.ordstatement · cited by 266
- Ordinal.cardstatement · cited by 122
- GaloisConnection.l_u_leproof · cited by 36
- Cardinal.gc_ord_cardproof · cited by 6
Cited by6
Results whose statement or proof uses this declaration.
- Cardinal.ord_univproof · cited by 8
- Ordinal.ord_cof_leproof · cited by 3
- Ordinal.isNormal_preOmegaproof · cited by 3
- Ordinal.IsFundamentalSequence.cof_eqproof · cited by 2
- Ordinal.IsInitial.card_le_cardproof · cited by 1
- ZFSet.card_vonNeumannproof · cited by 0