Theorems · Theorem · algebraic geometry
List.trop_minimum
∀ {R : Type u_1} [inst : LinearOrder R] (l : List R),
Tropical.trop l.minimum = (List.map (Tropical.trop ∘ WithTop.some) l).sum- Defined in
- Mathlib.Algebra.Tropical.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- LinearOrder
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Cites7
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
- Tropicalstatement · cited by 74
- Tropical.tropstatement and proof · cited by 35
- List.minimumstatement and proof · cited by 24
- List.minimum_consproof · cited by 7
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