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Ext-declon-list-formalp

Check if all the external declarations in a list have formal dynamic semantics.

Signature

(ext-declon-list-formalp edecls) → yes/no

Arguments

edecls — Guard (ext-declon-listp edecls).

Returns

yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: ext-declon-list-formalp

(defun ext-declon-list-formalp (edecls)
  (declare (xargs :guard (ext-declon-listp edecls)))
  (declare (xargs :guard (ext-declon-list-unambp edecls)))
  (let ((__function__ 'ext-declon-list-formalp))
    (declare (ignorable __function__))
    (or (endp edecls)
        (and (ext-declon-formalp (car edecls))
             (ext-declon-list-formalp (cdr edecls))))))

Theorem: booleanp-of-ext-declon-list-formalp

(defthm booleanp-of-ext-declon-list-formalp
  (b* ((yes/no (ext-declon-list-formalp edecls)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: ext-declon-list-formalp-of-ext-declon-list-fix-edecls

(defthm ext-declon-list-formalp-of-ext-declon-list-fix-edecls
  (equal (ext-declon-list-formalp (ext-declon-list-fix edecls))
         (ext-declon-list-formalp edecls)))

Theorem: ext-declon-list-formalp-ext-declon-list-equiv-congruence-on-edecls

(defthm
 ext-declon-list-formalp-ext-declon-list-equiv-congruence-on-edecls
 (implies (ext-declon-list-equiv edecls edecls-equiv)
          (equal (ext-declon-list-formalp edecls)
                 (ext-declon-list-formalp edecls-equiv)))
 :rule-classes :congruence)