Theorems · Theorem · logic and foundations
Ordinal.lt_lsub
Deprecated since 2026-03-27Mathlib marks this declaration as deprecated.
∀ {ι : Type u_3} (f : ι → Ordinal.{max u_4 u_3}) (i : ι), f i < Ordinal.lsub f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.lsubstatement · cited by 43
- Ordinal.lt_iSup_add_oneproof · cited by 3
Cited by7
Results whose statement or proof uses this declaration.
- Ordinal.iSup_le_lsubproof · cited by 4
- Ordinal.lsub_typeinproof · cited by 2
- Ordinal.cof_eq_sInf_lsubproof · cited by 2
- Ordinal.succ_iSup_le_lsub_iffproof · cited by 1
- Ordinal.lsub_posproof · cited by 1
- Ordinal.lsub_notMem_rangeproof · cited by 1
- Ordinal.iSup_eq_lsub_iff_lt_iSupproof · cited by 0