Theorems · Theorem · order theory
List.argmax_eq_none
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder β] [inst_1 : DecidableLT β] {f : α → β} {l : List α},
List.argmax f l = none ↔ l = []- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderDecidableLT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- List.argmaxstatement · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- List.maximum_eq_botproof · cited by 2
- Submodule.exists_isTorsionByproof · cited by 1