Theorems · Theorem · algebraic geometry
Tropical.add_pow
∀ {R : Type u} [inst : LinearOrder R] [inst_1 : AddMonoid R] [AddLeftMono R] [AddRightMono R] (x y : Tropical R)
(n : ℕ), (x + y) ^ n = x ^ n + y ^ n- Defined in
- Mathlib.Algebra.Tropical.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites9
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
- AddMonoidstatement and proof · cited by 2,864
- AddLeftMonostatement and proof · cited by 687
- AddRightMonostatement and proof · cited by 367
- le_totalproof · cited by 294
- Tropicalstatement and proof · cited by 74
- pow_le_pow_left'proof · cited by 25
- Tropical.add_eq_leftproof · cited by 1
- Tropical.add_eq_rightproof · cited by 1
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