Theorems · Theorem · logic and foundations
Ordinal.IsNormal.bsup_eq
Deprecated since 2026-03-23Use Order.IsNormal.apply_of_isSuccLimit instead.
∀ {f : Ordinal.{u} → Ordinal.{max u v}},
Order.IsNormal f → ∀ {o : Ordinal.{u}}, Order.IsSuccLimit o → (o.bsup fun x x_1 => f x) = f o- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Order.IsSuccLimitstatement and proof · cited by 255
- Order.IsNormalstatement and proof · cited by 118
- Ordinal.bsupstatement · cited by 49
- Order.IsSuccLimit.succ_ltproof · cited by 18
- Order.IsSuccLimit.ne_botproof · cited by 5
- Ordinal.bsup_id_limitproof · cited by 1
- Ordinal.IsNormal.bsupproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.IsNormal.blsub_eqproof · cited by 1
- Ordinal.isNormal_iff_lt_succ_and_bsup_eqproof · cited by 1