Theorems · Theorem · algebraic geometry
WeierstrassCurve.Jacobian.addXYZ_neg
∀ {R : Type r} [inst : CommRing R] {W' : WeierstrassCurve.Jacobian R} {P : Fin 3 → R},
W'.Equation P → W'.addXYZ P (W'.neg P) = -W'.dblZ P • ![1, 1, 0]- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- WeierstrassCurve.Jacobianstatement and proof · cited by 232
- Even.neg_powproof · cited by 99
- WeierstrassCurve.Jacobian.Equationstatement and proof · cited by 67
- WeierstrassCurve.Jacobian.addZproof · cited by 33
- WeierstrassCurve.Jacobian.dblZstatement and proof · cited by 26
- WeierstrassCurve.Jacobian.negstatement and proof · cited by 19
- WeierstrassCurve.Jacobian.addYproof · cited by 18
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