Theorems · Theorem · logic and foundations
Ordinal.lsub_empty
Deprecated since 2026-03-27Mathlib marks this declaration as deprecated.
∀ {ι : Type u_3} [h : IsEmpty ι] (f : ι → Ordinal.{max u_4 u_3}), Ordinal.lsub f = 0- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsEmpty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 and proof · cited by 759
- nonpos_iff_eq_zeroproof · cited by 100
- IsEmpty.elimproof · cited by 46
- Ordinal.lsubstatement · cited by 43
- Ordinal.lsub_le_iffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.lsub_eq_zero_iffproof · cited by 1