Theorems · Theorem · order theory
WithTop.pred_eq_top
∀ {α : Type u_2} [Nontrivial α] [inst : LinearOrder α] [inst_1 : OrderTop α] [inst_2 : PredOrder α] (a : WithTop α),
a.pred = ⊤ ↔ a = ⊤- Defined in
- Mathlib.Order.SuccPred.WithBot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- WithTopstatement and proof · cited by 3,754
- Nontrivialstatement and proof · cited by 2,416
- WithTop.someproof · cited by 1,128
- OrderTopstatement and proof · cited by 493
- PredOrderstatement and proof · cited by 334
- WithTop.recTopCoeproof · cited by 107
- WithTop.predstatement · cited by 8
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