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Identifiers

Tidentifier-fix

Fixer for tidentifierp.

Signature
(tidentifier-fix x) → fixed-x
Arguments: x — Guard (tidentifierp x).
Returns: fixed-x — Type (tidentifierp fixed-x).

Definitions and Theorems

Function: tidentifier-fix

(defun tidentifier-fix (x)
  (declare (xargs :guard (tidentifierp x)))
  (mbe :logic
       (if (tidentifierp x)
           x
         (list (char-code #\$)))
       :exec x))

Theorem: tidentifierp-of-tidentifier-fix

(defthm tidentifierp-of-tidentifier-fix
  (b* ((fixed-x (tidentifier-fix x)))
    (tidentifierp fixed-x))
  :rule-classes :rewrite)

Theorem: tidentifier-fix-when-tidentifierp

(defthm tidentifier-fix-when-tidentifierp
  (implies (tidentifierp x)
           (equal (tidentifier-fix x) x)))