Theorems · Theorem · order theory
toZ_iterate_succ_of_not_isMax
∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : SuccOrder ι] [inst_2 : IsSuccArchimedean ι] [inst_3 : PredOrder ι]
{i0 : ι} (n : ℕ), ¬IsMax (Order.succ^[n] i0) → toZ i0 (Order.succ^[n] i0) = ↑n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- IsMaxstatement and proof · cited by 372
- PredOrderstatement and proof · cited by 334
- Nat.findproof · cited by 139
- max_eq_leftproof · cited by 96
- IsSuccArchimedeanstatement and proof · cited by 88
- toZstatement and proof · cited by 23
- IsSuccArchimedean.exists_succ_iterate_of_leproof · cited by 12
- toZ_of_geproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- toZ_iterate_succproof · cited by 0