Theorems · Definition · order theory
List.maximum_of_length_pos
{α : Type u_1} → [LinearOrder α] → {l : List α} → 0 < l.length → αThe maximum value in a non-empty List.
- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- List.maximumproof · cited by 25
- WithBot.unbotproof · cited by 23
- List.maximum_ne_bot_of_length_posproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- List.le_maximum_of_length_pos_of_memstatement · cited by 2
- List.maximum_of_length_pos_memstatement · cited by 1
- List.coe_maximum_of_length_posstatement · cited by 1
- WeierstrassCurve.exists_isIntegralproof · cited by 1
- List.getElem_le_maximum_of_length_posstatement · cited by 0
- List.maximum_of_length_pos.congr_simpstatement and proof · cited by 0
- List.le_maximum_of_length_pos_iffstatement · cited by 0