Theorems · Theorem · logic and foundations
Ordinal.card_succ
Deprecated since 2026-02-27Use Ordinal.card_add_one instead.
∀ (o : Ordinal.{u_1}), (Order.succ o).card = o.card + 1- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 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
- Order.succstatement · cited by 633
- Ordinal.cardstatement and proof · cited by 122
- Order.succ_eq_add_oneproof · cited by 115
- Ordinal.card_addproof · cited by 6
- Ordinal.card_oneproof · cited by 6
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