Theorems · Theorem · algebraic geometry
Tropical.add_eq_right_iff
∀ {R : Type u} [inst : LinearOrder R] {x y : Tropical R}, x + y = y ↔ y ≤ x- Defined in
- Mathlib.Algebra.Tropical.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
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Cites7
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.untropproof · cited by 40
- Tropical.trop_add_defproof · cited by 3
- Tropical.trop_eq_iff_eq_untropproof · cited by 3
- Tropical.untrop_le_iffproof · cited by 2
- min_eq_right_iffproof · cited by 1
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