Theorems · Theorem · logic and foundations
Ordinal.card_le_ofNat
∀ {o : Ordinal.{u_1}} {n : ℕ} [inst : n.AtLeastTwo], o.card ≤ OfNat.ofNat n ↔ o ≤ OfNat.ofNat n- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
Around this declaration
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Cites5
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
- Nat.AtLeastTwostatement and proof · cited by 405
- Ordinal.cardstatement · cited by 122
- Ordinal.card_le_natproof · cited by 3
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