Theorems · Definition · algebraic geometry
Tropical.tropEquiv
{R : Type u} → R ≃ Tropical RReinterpret x : R as an element of Tropical R.
See Tropical.tropOrderIso for the order-preserving equivalence.
- Defined in
- Mathlib.Algebra.Tropical.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Tropicalstatement · cited by 74
- Tropical.untropproof · cited by 40
- Tropical.tropproof · cited by 35
- Tropical.trop_untropproof · cited by 1
- Tropical.untrop_tropproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- Tropical.trop_eq_iff_eq_untropproof · cited by 3
- Tropical.tropOrderIsoproof · cited by 2
- Tropical.surjective_tropproof · cited by 0
- Tropical.surjective_untropproof · cited by 0
- Tropical.tropEquiv_coe_fnstatement · cited by 0
- Tropical.tropEquiv_symm_coe_fnstatement · cited by 0
- Tropical.injective_tropproof · cited by 0
- Tropical.injective_untropproof · cited by 0
- Tropical.untrop_eq_iff_eq_tropproof · cited by 0