Theorems · Theorem · order theory
List.minimum_append
∀ {α : Type u_1} [inst : LinearOrder α] (l₁ l₂ : List α), (l₁ ++ l₂).minimum = min l₁.minimum l₂.minimum- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
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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
- WithTopstatement and proof · cited by 3,754
- WithTop.someproof · cited by 1,128
- le_topproof · cited by 411
- inf_of_le_rightproof · cited by 128
- List.minimumstatement and proof · cited by 24
- List.minimum_consproof · cited by 7
- min_assocproof · cited by 5
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