Theorems · Theorem · order theory
iterate_pred_toZ
∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : SuccOrder ι] [inst_2 : IsSuccArchimedean ι] [inst_3 : PredOrder ι]
{i0 : ι}, ∀ i < i0, Order.pred^[(-toZ i0 i).toNat] i0 = i- Cited by
- 3 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- LT.lt.leproof · cited by 2,189
- neg_negproof · cited by 960
- Nat.iteratestatement and proof · cited by 740
- SuccOrderstatement and proof · cited by 574
- PredOrderstatement and proof · cited by 334
- Order.predstatement and proof · cited by 273
- Nat.findproof · cited by 139
- IsSuccArchimedeanstatement and proof · cited by 88
- Nat.find_specproof · cited by 74
- toZstatement · cited by 23
- IsPredArchimedean.exists_pred_iterate_of_leproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- toZ_strictMonoproof · cited by 3
- toZ_iterate_pred_of_not_isMinproof · cited by 1
- toZ_negproof · cited by 1