Theorems · Theorem · order theory
IsPredArchimedean.of_orderIso
∀ {X : Type u_3} {Y : Type u_4} [inst : PartialOrder X] [inst_1 : PartialOrder Y] [inst_2 : PredOrder X]
[IsPredArchimedean X] [inst_4 : PredOrder Y] (f : X ≃o Y), IsPredArchimedean YIsPredArchimedean transfers across equivalences between PredOrders.
- Defined in
- Mathlib.Order.SuccPred.Archimedean
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- OrderIsostatement and proof · cited by 874
- Nat.iterateproof · cited by 740
- PredOrderstatement and proof · cited by 334
- Order.predproof · cited by 273
- IsPredArchimedeanstatement and proof · cited by 66
- Function.iterate_succ'proof · cited by 56
- EquivLike.invproof · cited by 42
- EquivLike.apply_inv_applyproof · cited by 11
- IsPredArchimedean.exists_pred_iterate_of_leproof · cited by 11
- OrderIso.apply_eq_iff_eqproof · cited by 3
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