Theorems · Theorem · order theory
Order.isMax_or_mem_range_pred_or_isPredLimit
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : PredOrder α] (a : α),
IsMax a ∨ a ∈ Set.range Order.pred ∨ Order.IsPredLimit a- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderPredOrder
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Set.rangestatement and proof · cited by 4,705
- IsMaxstatement and proof · cited by 372
- PredOrderstatement and proof · cited by 334
- Order.predstatement and proof · cited by 273
- Order.IsPredPrelimitproof · cited by 93
- Order.IsPredLimitstatement · cited by 60
- Order.isPredLimit_iffproof · cited by 10
- Order.mem_range_pred_or_isPredPrelimitproof · cited by 1
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