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Theorems · Theorem · logic and foundations

Ordinal.lt_blsub_iff

Deprecated since 2026-03-23Mathlib marks this declaration as deprecated.

∀ {o : Ordinal.{u}} {f : (b : Ordinal.{u}) → b < o → Ordinal.{max u v}} {a : Ordinal.{max u v}},
  a < o.blsub f ↔ ∃ i, ∃ (hi : i < o), a ≤ f i hi
Defined in
Mathlib.SetTheory.Ordinal.Family
Cited by
1 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ordinal.bsup_comp · cited by 1Ordinal.bsup_compOrdinal · cited by 1688OrdinalOrdinal.blsub · cited by 44Ordinal.blsubOrdinal.blsub_le_iff · cited by 4Ordinal.blsub_le_iffOrdinal.lt_blsub_iffCITED BYCITES

Cites3

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Cited by1

Results whose statement or proof uses this declaration.