Theorems · Theorem · order theory
Order.not_isPredLimit_pred
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : PredOrder α] [NoMinOrder α] (a : α), ¬Order.IsPredLimit (Order.pred a)- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PreorderPredOrderNoMinOrder
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- PredOrderstatement and proof · cited by 334
- Order.predstatement and proof · cited by 273
- NoMinOrderstatement and proof · cited by 247
- Order.IsPredLimitstatement and proof · cited by 60
- Order.IsPredLimit.pred_neproof · cited by 1
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