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• Baby-jubjub

Baby-jubjub-mul

Scalar multiplication on BabyJubjub.

Signature

(baby-jubjub-mul scalar point) → point1

Arguments

scalar — Guard (integerp scalar).

point — Guard (baby-jubjub-pointp point).

Returns

point1 — Type (baby-jubjub-pointp point1), given (baby-jubjub-pointp point).

Definitions and Theorems

Function: baby-jubjub-mul

(defun baby-jubjub-mul (scalar point)
  (declare (xargs :guard (and (integerp scalar)
                              (baby-jubjub-pointp point))))
  (let ((acl2::__function__ 'baby-jubjub-mul))
    (declare (ignorable acl2::__function__))
    (ecurve::twisted-edwards-mul scalar point (baby-jubjub-curve))))

Theorem: baby-jubjub-pointp-of-baby-jubjub-mul

(defthm baby-jubjub-pointp-of-baby-jubjub-mul
  (implies (baby-jubjub-pointp point)
           (b* ((point1 (baby-jubjub-mul scalar point)))
             (baby-jubjub-pointp point1)))
  :rule-classes :rewrite)

Theorem: baby-jubjub-mul-of-ifix-scalar

(defthm baby-jubjub-mul-of-ifix-scalar
  (equal (baby-jubjub-mul (ifix scalar) point)
         (baby-jubjub-mul scalar point)))

Theorem: baby-jubjub-mul-int-equiv-congruence-on-scalar

(defthm baby-jubjub-mul-int-equiv-congruence-on-scalar
  (implies (acl2::int-equiv scalar scalar-equiv)
           (equal (baby-jubjub-mul scalar point)
                  (baby-jubjub-mul scalar-equiv point)))
  :rule-classes :congruence)