Theorems · Theorem · algebraic geometry
WeierstrassCurve.Affine.evalEval_polynomialY
∀ {R : Type r} [inst : CommRing R] {W : WeierstrassCurve.Affine R} (x y : R),
Polynomial.evalEval x y W.polynomialY = 2 * y + W.a₁ * x + W.a₃- Cited by
- 5 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Polynomial.evalproof · cited by 796
- add_assocproof · cited by 746
- WeierstrassCurve.a₁statement and proof · cited by 272
- WeierstrassCurve.a₃statement and proof · cited by 210
- WeierstrassCurve.Affinestatement and proof · cited by 174
- Polynomial.eval_Xproof · cited by 172
- Polynomial.eval_Cproof · cited by 145
- Polynomial.eval_mulproof · cited by 127
- Polynomial.eval_addproof · cited by 84
- Polynomial.evalEvalstatement · cited by 53
- WeierstrassCurve.Affine.polynomialYstatement · cited by 18
Cited by5
Results whose statement or proof uses this declaration.
- WeierstrassCurve.Affine.nonsingular_iff'proof · cited by 3
- WeierstrassCurve.Affine.evalEval_polynomialY_zeroproof · cited by 1
- WeierstrassCurve.Jacobian.eval_polynomialY_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Projective.eval_polynomialY_of_Z_ne_zeroproof · cited by 1
- WeierstrassCurve.Affine.slope_of_Y_ne_eq_evalEvalproof · cited by 0