Theorems · Theorem · algebraic geometry
Tropical.trop_eq_iff_eq_untrop
∀ {R : Type u} {x : R} {y : Tropical R}, Tropical.trop x = y ↔ x = Tropical.untrop y- Defined in
- Mathlib.Algebra.Tropical.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.eq_symm_applyproof · cited by 85
- Tropicalstatement and proof · cited by 74
- Tropical.untropstatement · cited by 40
- Tropical.tropstatement · cited by 35
- Tropical.tropEquivproof · cited by 8
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