Theorems · Theorem · logic and foundations
Ordinal.toType_empty_iff_eq_zero
Deprecated since 2026-02-18Use Ordinal.isEmpty_toType_iff instead.
∀ {o : Ordinal.{u_1}}, IsEmpty o.ToType ↔ o = 0Alias of Ordinal.isEmpty_toType_iff.
- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement · cited by 1,688
- IsEmptystatement · cited by 759
- Ordinal.ToTypestatement · cited by 143
- Ordinal.isEmpty_toType_iffproof · cited by 3
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