Theorems · Theorem · algebraic geometry
Tropical.untrop_le_iff
∀ {R : Type u} [inst : LE R] {x y : Tropical R}, Tropical.untrop x ≤ Tropical.untrop y ↔ x ≤ y- Defined in
- Mathlib.Algebra.Tropical.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- LE
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Tropicalstatement and proof · cited by 74
- Tropical.untropstatement · cited by 40
Cited by2
Results whose statement or proof uses this declaration.
- Tropical.add_eq_left_iffproof · cited by 0
- Tropical.add_eq_right_iffproof · cited by 0