Theorems · Theorem · order theory
List.minimum_ne_top_of_ne_nil
∀ {α : Type u_1} [inst : LinearOrder α] {l : List α}, l ≠ [] → l.minimum ≠ ⊤- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
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Cites8
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 · cited by 3,754
- WithTop.coe_ne_topproof · cited by 43
- List.minimumstatement and proof · cited by 24
- inf_eq_top_iffproof · cited by 7
- List.minimum_consproof · cited by 7
- List.minimum_eq_topproof · cited by 4
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Results whose statement or proof uses this declaration.
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