Theorems · Theorem · order theory
List.le_maximum_of_length_pos_iff
∀ {α : Type u_1} [inst : LinearOrder α] {l : List α} {b : α} (h : 0 < l.length),
b ≤ List.maximum_of_length_pos h ↔ ↑b ≤ l.maximum- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
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Cites7
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 · cited by 541
- List.maximumstatement · cited by 25
- List.maximum_of_length_posstatement · cited by 7
- List.maximum_ne_bot_of_length_posproof · cited by 2
- WithBot.le_unbot_iffproof · cited by 2
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