Theorems · Theorem · order theory
List.maximum_concat
∀ {α : Type u_1} [inst : LinearOrder α] (a : α) (l : List α), (l ++ [a]).maximum = max l.maximum ↑a- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, 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
- WithBotstatement · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- bot_leproof · cited by 306
- max_eq_rightproof · cited by 79
- List.maximumstatement · cited by 25
- List.argmaxproof · cited by 15
- List.argmax_concatproof · cited by 2
- max_def_ltproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- List.maximum_consproof · cited by 6