Theorems · Theorem · order theory
Order.not_isMax_pred
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : PredOrder α] [Nontrivial α] (a : α), ¬IsMax (Order.pred a)- Defined in
- Mathlib.Order.SuccPred.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- LinearOrderstatement and proof · cited by 8,572
- Nontrivialstatement and proof · cited by 2,416
- IsMaxstatement · cited by 372
- PredOrderstatement and proof · cited by 334
- Order.predstatement and proof · cited by 273
- LE.le.eq_or_lt'proof · cited by 27
- Order.pred_leproof · cited by 19
- Order.pred_eq_iff_isMinproof · cited by 8
- not_isMax_of_ltproof · cited by 6
- IsMin.not_isMaxproof · cited by 2
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