Theorems · Theorem · logic and foundations
Ordinal.pred_add_one
∀ (o : Ordinal.{u_4}), (o + 1).pred = o- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- IsMaxproof · cited by 372
- Order.IsSuccPrelimitproof · cited by 157
- Ordinal.predstatement · cited by 15
- Order.isSuccPrelimitRecOn_succproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.pred_eq_iff_isSuccPrelimitproof · cited by 2
- Ordinal.pred_le_iff_le_succproof · cited by 1
- Ordinal.lift_predproof · cited by 0
- Ordinal.pred_succproof · cited by 0