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• Abstract-syntax-replace-field-access

Fundef-replace-field-access

Signature

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

Arguments

fundef — Guard (fundefp fundef).

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 (fundefp fty::result).

Definitions and Theorems

Function: fundef-replace-field-access

(defun fundef-replace-field-access
       (fundef original
               linkage new1 new2 split-members)
 (declare (xargs :guard (and (fundefp fundef)
                             (identp original)
                             (c$::linkagep linkage)
                             (identp new1)
                             (identp new2)
                             (ident-listp split-members))))
 (declare (ignorable fundef original
                     linkage new1 new2 split-members))
 (let ((__function__ 'fundef-replace-field-access))
  (declare (ignorable __function__))
  (fundef
    (c$::fundef->extension fundef)
    (decl-spec-list-replace-field-access
         (c$::fundef->specs fundef)
         original
         linkage new1 new2 split-members)
    (declor-replace-field-access (fundef->declor fundef)
                                 original
                                 linkage new1 new2 split-members)
    (c$::fundef->asm? fundef)
    (attrib-spec-list-replace-field-access
         (c$::fundef->attribs fundef)
         original
         linkage new1 new2 split-members)
    (declon-list-replace-field-access
         (c$::fundef->declons fundef)
         original
         linkage new1 new2 split-members)
    (comp-stmt-replace-field-access (c$::fundef->body fundef)
                                    original
                                    linkage new1 new2 split-members)
    (c$::fundef->info fundef))))

Theorem: fundefp-of-fundef-replace-field-access

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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