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Fnsym

Fnsym-fix

Fixing function for fnsyms.

Signature
(fnsym-fix x) → x
Returns: x — Type (fnsym-p x).

Definitions and Theorems

Function: fnsym-fix

(defun fnsym-fix (x)
  (declare (xargs :guard t))
  (let ((__function__ 'fnsym-fix))
    (declare (ignorable __function__))
    (if (fnsym-p x) x 'id)))

Theorem: fnsym-p-of-fnsym-fix

(defthm fnsym-p-of-fnsym-fix
  (b* ((x (fnsym-fix x))) (fnsym-p x))
  :rule-classes :rewrite)

Theorem: fnsym-fix-when-fnsym-p

(defthm fnsym-fix-when-fnsym-p
  (implies (fnsym-p x)
           (equal (fnsym-fix x) x)))