Theorems · Theorem · algebraic geometry
Tropical.trop_add_def
∀ {R : Type u} [inst : LinearOrder R] (x y : Tropical R),
x + y = Tropical.trop (min (Tropical.untrop x) (Tropical.untrop y))- Defined in
- Mathlib.Algebra.Tropical.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Tropicalstatement and proof · cited by 74
- Tropical.untropstatement · cited by 40
- Tropical.tropstatement · cited by 35
Cited by3
Results whose statement or proof uses this declaration.
- Tropical.add_eq_iffproof · cited by 1
- Tropical.add_eq_left_iffproof · cited by 0
- Tropical.add_eq_right_iffproof · cited by 0