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Abstract-syntax-standardp

Ext-declon-standardp

Signature
(ext-declon-standardp ext-declon) → fty::result
Arguments: ext-declon — Guard (ext-declonp ext-declon).
Returns: fty::result — Type (booleanp fty::result).

Definitions and Theorems

Function: ext-declon-standardp

(defun ext-declon-standardp (ext-declon)
 (declare (xargs :guard (ext-declonp ext-declon)))
 (declare (ignorable ext-declon))
 (let ((__function__ 'ext-declon-standardp))
  (declare (ignorable __function__))
  (ext-declon-case
   ext-declon
   :fundef (fundef-standardp (ext-declon-fundef->fundef ext-declon))
   :declon (declon-standardp (ext-declon-declon->declon ext-declon))
   :empty nil
   :asm nil)))

Theorem: booleanp-of-ext-declon-standardp

(defthm booleanp-of-ext-declon-standardp
  (b* ((fty::result (ext-declon-standardp ext-declon)))
    (booleanp fty::result))
  :rule-classes :rewrite)

Theorem: ext-declon-standardp-of-ext-declon-fix-ext-declon

(defthm ext-declon-standardp-of-ext-declon-fix-ext-declon
  (equal (ext-declon-standardp (ext-declon-fix ext-declon))
         (ext-declon-standardp ext-declon)))

Theorem: ext-declon-standardp-ext-declon-equiv-congruence-on-ext-declon

(defthm
     ext-declon-standardp-ext-declon-equiv-congruence-on-ext-declon
  (implies (ext-declon-equiv ext-declon ext-declon-equiv)
           (equal (ext-declon-standardp ext-declon)
                  (ext-declon-standardp ext-declon-equiv)))
  :rule-classes :congruence)