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• Abstract-syntax-rename

Iconst-option-rename

Signature

(iconst-option-rename c$::iconst-option subst) → fty::result

Arguments

c$::iconst-option — Guard (c$::iconst-optionp c$::iconst-option).

subst — Guard (ident-ident-alistp subst).

Returns

fty::result — Type (c$::iconst-optionp fty::result).

Definitions and Theorems

Function: iconst-option-rename

(defun iconst-option-rename (c$::iconst-option subst)
 (declare (xargs :guard (and (c$::iconst-optionp c$::iconst-option)
                             (ident-ident-alistp subst))))
 (let ((__function__ 'iconst-option-rename))
  (declare (ignorable __function__))
  (c$::iconst-option-case
   c$::iconst-option
   :some
   (c$::iconst-fix
      (iconst-rename (c$::iconst-option-some->val c$::iconst-option)
                     subst))
   :none nil)))

Theorem: iconst-optionp-of-iconst-option-rename

(defthm iconst-optionp-of-iconst-option-rename
  (b* ((fty::result (iconst-option-rename c$::iconst-option subst)))
    (c$::iconst-optionp fty::result))
  :rule-classes :rewrite)

Theorem: iconst-option-rename-under-iff

(defthm iconst-option-rename-under-iff
  (iff (iconst-option-rename c$::iconst-option subst)
       c$::iconst-option))

Theorem: iconst-option-rename-of-iconst-option-fix-iconst-option

(defthm iconst-option-rename-of-iconst-option-fix-iconst-option
 (equal
     (iconst-option-rename (c$::iconst-option-fix c$::iconst-option)
                           subst)
     (iconst-option-rename c$::iconst-option subst)))

Theorem: iconst-option-rename-iconst-option-equiv-congruence-on-iconst-option

(defthm
 iconst-option-rename-iconst-option-equiv-congruence-on-iconst-option
 (implies
     (c$::iconst-option-equiv c$::iconst-option iconst-option-equiv)
     (equal (iconst-option-rename c$::iconst-option subst)
            (iconst-option-rename iconst-option-equiv subst)))
 :rule-classes :congruence)

Theorem: iconst-option-rename-of-ident-ident-alist-fix-subst

(defthm iconst-option-rename-of-ident-ident-alist-fix-subst
  (equal (iconst-option-rename c$::iconst-option
                               (ident-ident-alist-fix subst))
         (iconst-option-rename c$::iconst-option subst)))

Theorem: iconst-option-rename-ident-ident-alist-equiv-congruence-on-subst

(defthm
   iconst-option-rename-ident-ident-alist-equiv-congruence-on-subst
  (implies
       (ident-ident-alist-equiv subst subst-equiv)
       (equal (iconst-option-rename c$::iconst-option subst)
              (iconst-option-rename c$::iconst-option subst-equiv)))
  :rule-classes :congruence)