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Secp256k1-priv-key

Secp256k1-priv-key-p

Recognizer for secp256k1-priv-key.

Signature
(secp256k1-priv-key-p x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: secp256k1-priv-key-p

(defun secp256k1-priv-key-p (x)
  (declare (xargs :guard t))
  (integer-range-p 1 (secp256k1-group-prime)
                   x))

Theorem: booleanp-of-secp256k1-priv-key-p

(defthm booleanp-of-secp256k1-priv-key-p
  (b* ((yes/no (secp256k1-priv-key-p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: posp-and-below-order-when-secp256k1-priv-key-p

(defthm posp-and-below-order-when-secp256k1-priv-key-p
 (implies
  (secp256k1-priv-key-p privkey)
  (and
   (posp privkey)
   (<
    privkey
    115792089237316195423570985008687907852837564279074904382605163141518161494337)))
 :rule-classes :tau-system)