Theorems · Theorem · order theory
List.coe_le_maximum_iff
∀ {α : Type u_1} [inst : LinearOrder α] {l : List α} {a : α}, ↑a ≤ l.maximum ↔ ∃ b ∈ l, a ≤ b- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 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.
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
- WithBotstatement · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- List.maximumstatement and proof · cited by 25
- List.maximum_consproof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
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