Theorems · Theorem · algebraic geometry
Multiset.trop_sum
∀ {R : Type u_1} [inst : AddCommMonoid R] (s : Multiset R), Tropical.trop s.sum = (Multiset.map Tropical.trop s).prod- Defined in
- Mathlib.Algebra.Tropical.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement · cited by 876
- Multiset.prodstatement · cited by 528
- Multiset.sumstatement · cited by 388
- Tropicalstatement · cited by 74
- Tropical.tropstatement · cited by 35
- List.trop_sumproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- trop_sumproof · cited by 0