Theorems · Theorem · logic and foundations
Ordinal.le_bsup
Deprecated since 2026-04-05Mathlib marks this declaration as deprecated.
∀ {o : Ordinal.{u_3}} (f : (a : Ordinal.{u_3}) → a < o → Ordinal.{max u_4 u_3}) (i : Ordinal.{u_3}) (h : i < o),
f i h ≤ o.bsup f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 10 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.
Cites4
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
- le_rflproof · cited by 1,558
- Ordinal.bsupstatement · cited by 49
- Ordinal.bsup_le_iffproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- Ordinal.bsup_le_of_brange_subsetproof · cited by 2
- Ordinal.bsup_eq_blsub_of_lt_succ_limitproof · cited by 2
- Ordinal.bsup_eq_zero_iffproof · cited by 1
- Ordinal.blsub_le_bsup_succproof · cited by 1
- Ordinal.isNormal_iff_lt_succ_and_bsup_eqproof · cited by 1
- Ordinal.lt_bsup_of_ne_bsupproof · cited by 1
- Ordinal.bsup_succ_of_monoproof · cited by 1
- Ordinal.bsup_compproof · cited by 1
- Ordinal.bsup_constproof · cited by 1
- Ordinal.lt_bsup_of_limitproof · cited by 0