Theorems · Theorem · order theory
toZ_iterate_succ
∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : SuccOrder ι] [inst_2 : IsSuccArchimedean ι] [inst_3 : PredOrder ι]
{i0 : ι} [NoMaxOrder ι] (n : ℕ), toZ i0 (Order.succ^[n] i0) = ↑n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Nat.iteratestatement and proof · cited by 740
- Order.succstatement and proof · cited by 633
- SuccOrderstatement and proof · cited by 574
- NoMaxOrderstatement and proof · cited by 340
- PredOrderstatement and proof · cited by 334
- IsSuccArchimedeanstatement and proof · cited by 88
- not_isMaxproof · cited by 46
- toZstatement · cited by 23
- toZ_iterate_succ_of_not_isMaxproof · cited by 1
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