Theorems · Theorem · logic and foundations
Ordinal.isEmpty_toType_iff
∀ {o : Ordinal.{u_1}}, IsEmpty o.ToType ↔ o = 0- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 32 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
- IsEmptystatement · cited by 759
- Ordinal.ToTypestatement · cited by 143
- Ordinal.type_toTypeproof · cited by 28
- Ordinal.type_eq_zero_iff_isEmptyproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.cof_eq_zeroproof · cited by 4
- Ordinal.blsub_eq_zero_iffproof · cited by 1
- Ordinal.toType_empty_iff_eq_zeroproof · cited by 0