Theorems · Theorem · logic and foundations
Ordinal.card_lt_aleph0
∀ {o : Ordinal.{u_1}}, o.card < Cardinal.aleph0 ↔ o < Ordinal.omega0- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.aleph0statement · cited by 521
- Ordinal.omega0statement · cited by 197
- Ordinal.cardstatement · cited by 122
- le_iff_le_iff_lt_iff_ltproof · cited by 25
- Ordinal.aleph0_le_cardproof · cited by 5
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