Theorems · Theorem · logic and foundations
Ordinal.lift_pred
∀ (o : Ordinal.{v}), Ordinal.lift.{u, v} o.pred = (Ordinal.lift.{u, v} o).pred- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangeproof · cited by 4,705
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- Order.IsSuccPrelimitproof · cited by 157
- Order.succ_eq_add_oneproof · cited by 115
- Ordinal.liftstatement and proof · cited by 86
- Ordinal.predstatement and proof · cited by 15
- Ordinal.lift_oneproof · cited by 13
- Ordinal.lift_addproof · cited by 6
- Order.IsSuccPrelimit.ordinalPred_eqproof · cited by 5
- Order.mem_range_succ_or_isSuccPrelimitproof · cited by 4
- Ordinal.pred_add_oneproof · cited by 4
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