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• Secp256k1-field

Secp256k1-field-fix

Fixer for secp256k1-field.

Signature

(secp256k1-field-fix x) → fixed-x

Arguments

x — Guard (secp256k1-fieldp x).

Returns

fixed-x — Type (secp256k1-fieldp fixed-x).

Definitions and Theorems

Function: secp256k1-field-fix

(defun secp256k1-field-fix (x)
  (declare (xargs :guard (secp256k1-fieldp x)))
  (mbe :logic (if (secp256k1-fieldp x) x 0)
       :exec x))

Theorem: secp256k1-fieldp-of-secp256k1-field-fix

(defthm secp256k1-fieldp-of-secp256k1-field-fix
  (b* ((fixed-x (secp256k1-field-fix x)))
    (secp256k1-fieldp fixed-x))
  :rule-classes :rewrite)

Theorem: secp256k1-field-fix-when-secp256k1-fieldp

(defthm secp256k1-field-fix-when-secp256k1-fieldp
  (implies (secp256k1-fieldp x)
           (equal (secp256k1-field-fix x) x)))