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    • Curve-parameterization

    Curve-base-prime

    Base field prime of a curve.

    Signature
    (curve-base-prime curve) → prime
    Arguments
    curve — Guard (curvep curve).
    Returns
    prime — Type (primep prime).

    Definitions and Theorems

    Function: curve-base-prime

    (defun curve-base-prime (curve)
      (declare (xargs :guard (curvep curve)))
      (declare (ignore curve))
      (let ((__function__ 'curve-base-prime))
        (declare (ignorable __function__))
        (ecurve::edwards-bls12-q)))

    Theorem: primep-of-curve-base-prime

    (defthm primep-of-curve-base-prime
      (b* ((prime (curve-base-prime curve)))
        (primep prime))
      :rule-classes :rewrite)

    Theorem: curve-base-prime-of-curve-fix-curve

    (defthm curve-base-prime-of-curve-fix-curve
      (equal (curve-base-prime (curve-fix curve))
             (curve-base-prime curve)))

    Theorem: curve-base-prime-curve-equiv-congruence-on-curve

    (defthm curve-base-prime-curve-equiv-congruence-on-curve
      (implies (curve-equiv curve curve-equiv)
               (equal (curve-base-prime curve)
                      (curve-base-prime curve-equiv)))
      :rule-classes :congruence)