Theorems · Theorem · logic and foundations
Cardinal.type_cardinal
Deprecated since 2026-03-20Use Ordinal.type_lt_cardinal instead.
(Ordinal.type fun x1 x2 => x1 < x2) = Ordinal.univ.{u, u + 1}Alias of Ordinal.type_lt_cardinal.
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Ordinalstatement · cited by 1,688
- Ordinal.typestatement · cited by 207
- IsWellOrderstatement · cited by 171
- Ordinal.univstatement · cited by 18
- Ordinal.type_lt_cardinalproof · cited by 2
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