Theorems · Theorem · order theory
List.le_maximum_of_length_pos_of_mem
∀ {α : Type u_1} [inst : LinearOrder α] {l : List α} {a : α},
a ∈ l → ∀ (w : 0 < l.length), a ≤ List.maximum_of_length_pos w- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.maximum_of_length_posstatement · cited by 7
- List.le_maximum_of_mem'proof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- WeierstrassCurve.exists_isIntegralproof · cited by 1
- List.getElem_le_maximum_of_length_posproof · cited by 0