Theorems · Theorem · logic and foundations
Ordinal.isPrincipal_zero
∀ {op : Ordinal.{u_1} → Ordinal.{u_1} → Ordinal.{u_1}}, Ordinal.IsPrincipal op 0- Defined in
- Mathlib.SetTheory.Ordinal.Principal
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- Ordinal.IsPrincipalstatement · cited by 92
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.isPrincipal_add_iff_zero_or_omega0_opowproof · cited by 3
- Ordinal.isPrincipal_mul_of_le_twoproof · cited by 2
- Ordinal.isPrincipal_add_of_le_oneproof · cited by 2
- Ordinal.isPrincipal_add_mul_of_isPrincipal_addproof · cited by 1
- Ordinal.principal_zeroproof · cited by 0