Theorems · Theorem · order theory
Order.IsPredPrelimit.isMax
∀ {α : Type u_1} {a : α} [inst : PartialOrder α] [inst_1 : PredOrder α] [IsPredArchimedean α],
Order.IsPredPrelimit a → IsMax a- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- le_rflproof · cited by 1,558
- IsMaxstatement · cited by 372
- PredOrderstatement and proof · cited by 334
- Order.predproof · cited by 273
- Order.IsPredPrelimitstatement and proof · cited by 93
- IsPredArchimedeanstatement and proof · cited by 66
- Order.IsPredPrelimit.isMinproof · cited by 7
- IsMin.pred_eqproof · cited by 6
- Pred.recproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Order.isPredPrelimit_iff_isMaxproof · cited by 2
- Order.not_isPredLimit_of_isPredArchimedeanproof · cited by 1