Theorems · Theorem · algebraic geometry
untrop_sum
∀ {R : Type u_1} {S : Type u_2} [inst : ConditionallyCompleteLinearOrder R] [inst_1 : Fintype S]
(f : S → Tropical (WithTop R)), Tropical.untrop (∑ i, f i) = ⨅ i, Tropical.untrop (f i)- Defined in
- Mathlib.Algebra.Tropical.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- Fintypestatement and proof · cited by 7,736
- Set.imageproof · cited by 5,609
- Finset.sumstatement and proof · cited by 5,195
- WithTopstatement and proof · cited by 3,754
- Finset.univstatement and proof · cited by 3,473
- iInfstatement · cited by 1,690
- InfSet.sInfproof · cited by 935
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- Set.image_univproof · cited by 322
- Finset.coe_univproof · cited by 101
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