Theorems · Theorem · order theory
List.minimum_concat
∀ {α : Type u_1} [inst : LinearOrder α] (a : α) (l : List α), (l ++ [a]).minimum = min l.minimum ↑a- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- WithTopstatement · cited by 3,754
- WithTop.somestatement and proof · cited by 1,128
- le_topproof · cited by 411
- min_eq_rightproof · cited by 54
- WithTop.coe_lt_coeproof · cited by 47
- List.minimumstatement · cited by 24
- List.argminproof · cited by 13
- List.argmin_concatproof · cited by 2
- min_def_lt'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- List.minimum_consproof · cited by 7