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Simpadd0-event-generation

Simpadd0-extdecl-list

Transform a list of external declarations.

Signature
(simpadd0-extdecl-list extdecls gin) → (mv new-extdecls gout)
Arguments: extdecls — Guard (extdecl-listp extdecls).; gin — Guard (ginp gin).
Returns: new-extdecls — Type (extdecl-listp new-extdecls).; gout — Type (goutp gout).

Definitions and Theorems

Function: simpadd0-extdecl-list

(defun simpadd0-extdecl-list (extdecls gin)
 (declare (xargs :guard (and (extdecl-listp extdecls)
                             (ginp gin))))
 (declare (xargs :guard (and (extdecl-list-unambp extdecls)
                             (extdecl-list-annop extdecls))))
 (let ((__function__ 'simpadd0-extdecl-list))
  (declare (ignorable __function__))
  (b*
   (((gin gin) gin)
    ((when (endp extdecls))
     (mv nil (gout-no-thm gin)))
    ((mv new-edecl (gout gout-edecl))
     (simpadd0-extdecl (car extdecls) gin))
    (gin (gin-update gin gout-edecl))
    ((mv new-edecls (gout gout-edecls))
     (simpadd0-extdecl-list (cdr extdecls)
                            (change-gin gin
                                        :vartys gout-edecl.vartys)))
    (gin (gin-update gin gout-edecls)))
   (mv (cons new-edecl new-edecls)
       (change-gout (gout-no-thm gin)
                    :vartys gout-edecls.vartys)))))

Theorem: extdecl-listp-of-simpadd0-extdecl-list.new-extdecls

(defthm extdecl-listp-of-simpadd0-extdecl-list.new-extdecls
  (b* (((mv ?new-extdecls ?gout)
        (simpadd0-extdecl-list extdecls gin)))
    (extdecl-listp new-extdecls))
  :rule-classes :rewrite)

Theorem: goutp-of-simpadd0-extdecl-list.gout

(defthm goutp-of-simpadd0-extdecl-list.gout
  (b* (((mv ?new-extdecls ?gout)
        (simpadd0-extdecl-list extdecls gin)))
    (goutp gout))
  :rule-classes :rewrite)

Theorem: extdecl-list-unambp-of-simpadd0-extdecl-list

(defthm extdecl-list-unambp-of-simpadd0-extdecl-list
  (b* (((mv ?new-extdecls ?gout)
        (simpadd0-extdecl-list extdecls gin)))
    (extdecl-list-unambp new-extdecls)))

Theorem: extdecl-list-annop-of-simpadd0-extdecl-list

(defthm extdecl-list-annop-of-simpadd0-extdecl-list
  (implies (and (extdecl-list-unambp extdecls)
                (extdecl-list-annop extdecls))
           (b* (((mv ?new-extdecls ?gout)
                 (simpadd0-extdecl-list extdecls gin)))
             (extdecl-list-annop new-extdecls))))

Theorem: extdecl-list-aidentp-of-simpadd0-extdecl-list

(defthm extdecl-list-aidentp-of-simpadd0-extdecl-list
  (implies (and (extdecl-list-unambp extdecls)
                (extdecl-list-aidentp extdecls gcc))
           (b* (((mv ?new-extdecls ?gout)
                 (simpadd0-extdecl-list extdecls gin)))
             (extdecl-list-aidentp new-extdecls gcc))))

Theorem: simpadd0-extdecl-list-of-extdecl-list-fix-extdecls

(defthm simpadd0-extdecl-list-of-extdecl-list-fix-extdecls
  (equal (simpadd0-extdecl-list (extdecl-list-fix extdecls)
                                gin)
         (simpadd0-extdecl-list extdecls gin)))

Theorem: simpadd0-extdecl-list-extdecl-list-equiv-congruence-on-extdecls

(defthm
    simpadd0-extdecl-list-extdecl-list-equiv-congruence-on-extdecls
  (implies (c$::extdecl-list-equiv extdecls extdecls-equiv)
           (equal (simpadd0-extdecl-list extdecls gin)
                  (simpadd0-extdecl-list extdecls-equiv gin)))
  :rule-classes :congruence)

Theorem: simpadd0-extdecl-list-of-gin-fix-gin

(defthm simpadd0-extdecl-list-of-gin-fix-gin
  (equal (simpadd0-extdecl-list extdecls (gin-fix gin))
         (simpadd0-extdecl-list extdecls gin)))

Theorem: simpadd0-extdecl-list-gin-equiv-congruence-on-gin

(defthm simpadd0-extdecl-list-gin-equiv-congruence-on-gin
  (implies (gin-equiv gin gin-equiv)
           (equal (simpadd0-extdecl-list extdecls gin)
                  (simpadd0-extdecl-list extdecls gin-equiv)))
  :rule-classes :congruence)