Theorems · Definition · order theory
List.minimum_of_length_pos
{α : Type u_1} → [LinearOrder α] → {l : List α} → 0 < l.length → αThe minimum value in a non-empty List.
- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 27 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
- WithTop.untopproof · cited by 36
- List.minimumproof · cited by 24
- List.minimum_ne_top_of_length_posproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- List.coe_minimum_of_length_posstatement · cited by 1
- List.minimum_of_length_pos_le_iffstatement · cited by 1
- List.minimum_of_length_pos_le_of_memstatement · cited by 1
- List.minimum_of_length_pos_le_getElemstatement · cited by 0
- List.minimum_of_length_pos_memstatement · cited by 0