Theorems · Theorem · logic and foundations
Ordinal.succ_ne_zero
Deprecated since 2026-02-27Use add_pos_of_right instead.
∀ (o : Ordinal.{u_1}), Order.succ o ≠ 0- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
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
- LT.lt.ne'proof · cited by 1,417
- Order.succstatement · cited by 633
- zero_lt_oneproof · cited by 598
- add_pos_of_rightproof · cited by 8
Cited by0
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