Theorems · Theorem · order theory
List.maximum_eq_coe_iff
∀ {α : Type u_1} [inst : LinearOrder α] {l : List α} {m : α}, l.maximum = ↑m ↔ m ∈ l ∧ ∀ a ∈ l, a ≤ m- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 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.
Cites9
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
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- WithBotstatement and proof · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- List.maximumstatement · cited by 25
- List.argmaxproof · cited by 15
- WithBot.some_eq_coeproof · cited by 2
- List.argmax_eq_some_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- List.getD_max?_eq_unbotD_maximumproof · cited by 0