Theorems · Theorem · order theory
List.maximum_ne_bot_of_length_pos
∀ {α : Type u_1} [inst : LinearOrder α] {l : List α}, 0 < l.length → l.maximum ≠ ⊥- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Bot.botstatement and proof · cited by 4,720
- WithBotstatement · cited by 1,498
- List.maximumstatement and proof · cited by 25
- List.maximum_consproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- List.maximum_of_length_posproof · cited by 7
- List.coe_maximum_of_length_posproof · cited by 1
- List.le_maximum_of_length_pos_iffproof · cited by 0