Theorems · Theorem · order theory
List.maximum_cons
∀ {α : Type u_1} [inst : LinearOrder α] (a : α) (l : List α), (a :: l).maximum = max (↑a) l.maximum- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- sup_of_le_leftproof · cited by 218
- List.reverseRecOnproof · cited by 29
- List.maximumstatement and proof · cited by 25
- max_assocproof · cited by 5
- List.maximum_concatproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- List.maximum_ne_bot_of_length_posproof · cited by 2
- List.maximum_le_of_forall_leproof · cited by 1
- List.foldr_max_of_ne_nilproof · cited by 0
- List.maximum_ne_bot_of_ne_nilproof · cited by 0
- List.coe_le_maximum_iffproof · cited by 0
- List.maximum_appendproof · cited by 0