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• Abstract-syntax-replace-field-access

Transunit-replace-field-access

Signature

(transunit-replace-field-access transunit original 
                                linkage new1 new2 split-members) 
 
  → 
fty::result

Arguments

transunit — Guard (transunitp transunit).

original — Guard (identp original).

linkage — Guard (c$::linkagep linkage).

new1 — Guard (identp new1).

new2 — Guard (identp new2).

split-members — Guard (ident-listp split-members).

Returns

fty::result — Type (transunitp fty::result).

Definitions and Theorems

Function: transunit-replace-field-access

(defun transunit-replace-field-access
       (transunit original
                  linkage new1 new2 split-members)
  (declare (xargs :guard (and (transunitp transunit)
                              (identp original)
                              (c$::linkagep linkage)
                              (identp new1)
                              (identp new2)
                              (ident-listp split-members))))
  (declare (ignorable transunit original
                      linkage new1 new2 split-members))
  (let ((__function__ 'transunit-replace-field-access))
    (declare (ignorable __function__))
    (transunit (c$::transunit->comment transunit)
               (ext-declon-list-replace-field-access
                    (transunit->declons transunit)
                    original
                    linkage new1 new2 split-members)
               (c$::transunit->info transunit))))

Theorem: transunitp-of-transunit-replace-field-access

(defthm transunitp-of-transunit-replace-field-access
  (b* ((fty::result (transunit-replace-field-access
                         transunit original
                         linkage new1 new2 split-members)))
    (transunitp fty::result))
  :rule-classes :rewrite)

Theorem: transunit-replace-field-access-of-transunit-fix-transunit

(defthm transunit-replace-field-access-of-transunit-fix-transunit
 (equal
  (transunit-replace-field-access (c$::transunit-fix transunit)
                                  original
                                  linkage new1 new2 split-members)
  (transunit-replace-field-access transunit original
                                  linkage new1 new2 split-members)))

Theorem: transunit-replace-field-access-transunit-equiv-congruence-on-transunit

(defthm
 transunit-replace-field-access-transunit-equiv-congruence-on-transunit
 (implies
  (c$::transunit-equiv transunit transunit-equiv)
  (equal
    (transunit-replace-field-access transunit original
                                    linkage new1 new2 split-members)
    (transunit-replace-field-access
         transunit-equiv original
         linkage new1 new2 split-members)))
 :rule-classes :congruence)

Theorem: transunit-replace-field-access-of-ident-fix-original

(defthm transunit-replace-field-access-of-ident-fix-original
 (equal
  (transunit-replace-field-access transunit (ident-fix original)
                                  linkage new1 new2 split-members)
  (transunit-replace-field-access transunit original
                                  linkage new1 new2 split-members)))

Theorem: transunit-replace-field-access-ident-equiv-congruence-on-original

(defthm
  transunit-replace-field-access-ident-equiv-congruence-on-original
 (implies
  (c$::ident-equiv original original-equiv)
  (equal
    (transunit-replace-field-access transunit original
                                    linkage new1 new2 split-members)
    (transunit-replace-field-access
         transunit original-equiv
         linkage new1 new2 split-members)))
 :rule-classes :congruence)

Theorem: transunit-replace-field-access-of-linkage-fix-linkage

(defthm transunit-replace-field-access-of-linkage-fix-linkage
 (equal
  (transunit-replace-field-access transunit
                                  original (c$::linkage-fix linkage)
                                  new1 new2 split-members)
  (transunit-replace-field-access transunit original
                                  linkage new1 new2 split-members)))

Theorem: transunit-replace-field-access-linkage-equiv-congruence-on-linkage

(defthm
 transunit-replace-field-access-linkage-equiv-congruence-on-linkage
 (implies
  (c$::linkage-equiv linkage linkage-equiv)
  (equal
    (transunit-replace-field-access transunit original
                                    linkage new1 new2 split-members)
    (transunit-replace-field-access
         transunit original
         linkage-equiv new1 new2 split-members)))
 :rule-classes :congruence)

Theorem: transunit-replace-field-access-of-ident-fix-new1

(defthm transunit-replace-field-access-of-ident-fix-new1
 (equal
  (transunit-replace-field-access transunit
                                  original linkage (ident-fix new1)
                                  new2 split-members)
  (transunit-replace-field-access transunit original
                                  linkage new1 new2 split-members)))

Theorem: transunit-replace-field-access-ident-equiv-congruence-on-new1

(defthm
      transunit-replace-field-access-ident-equiv-congruence-on-new1
 (implies
  (c$::ident-equiv new1 new1-equiv)
  (equal
    (transunit-replace-field-access transunit original
                                    linkage new1 new2 split-members)
    (transunit-replace-field-access
         transunit original
         linkage new1-equiv new2 split-members)))
 :rule-classes :congruence)

Theorem: transunit-replace-field-access-of-ident-fix-new2

(defthm transunit-replace-field-access-of-ident-fix-new2
 (equal
  (transunit-replace-field-access
       transunit
       original linkage new1 (ident-fix new2)
       split-members)
  (transunit-replace-field-access transunit original
                                  linkage new1 new2 split-members)))

Theorem: transunit-replace-field-access-ident-equiv-congruence-on-new2

(defthm
      transunit-replace-field-access-ident-equiv-congruence-on-new2
 (implies
  (c$::ident-equiv new2 new2-equiv)
  (equal
    (transunit-replace-field-access transunit original
                                    linkage new1 new2 split-members)
    (transunit-replace-field-access
         transunit original
         linkage new1 new2-equiv split-members)))
 :rule-classes :congruence)

Theorem: transunit-replace-field-access-of-ident-list-fix-split-members

(defthm
     transunit-replace-field-access-of-ident-list-fix-split-members
 (equal
  (transunit-replace-field-access
       transunit original linkage new1
       new2 (c$::ident-list-fix split-members))
  (transunit-replace-field-access transunit original
                                  linkage new1 new2 split-members)))

Theorem: transunit-replace-field-access-ident-list-equiv-congruence-on-split-members

(defthm
 transunit-replace-field-access-ident-list-equiv-congruence-on-split-members
 (implies
  (c$::ident-list-equiv split-members split-members-equiv)
  (equal
    (transunit-replace-field-access transunit original
                                    linkage new1 new2 split-members)
    (transunit-replace-field-access
         transunit original
         linkage new1 new2 split-members-equiv)))
 :rule-classes :congruence)