Theorems · Theorem · logic and foundations
Ordinal.pred_succ
Deprecated since 2026-05-25Use Ordinal.pred_add_one instead.
∀ (o : Ordinal.{u_4}), (Order.succ o).pred = o- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites4
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.succstatement · cited by 633
- Ordinal.predstatement · cited by 15
- Ordinal.pred_add_oneproof · cited by 4
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