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Indnamememo-to-var-decl-map

Signature

(indnamememo-to-var-decl-map n indnamememo acc) → map

Arguments

n — Guard (natp n).

acc — Guard (var-decl-map-p acc).

Returns

map — Type (var-decl-map-p map).

Definitions and Theorems

Function: indnamememo-to-var-decl-map

(defun indnamememo-to-var-decl-map (n indnamememo acc)
 (declare (xargs :stobjs (indnamememo)))
 (declare (xargs :guard (and (natp n) (var-decl-map-p acc))))
 (declare (xargs :guard (<= n (indnames-length indnamememo))))
 (let ((__function__ 'indnamememo-to-var-decl-map))
  (declare (ignorable __function__))
  (b*
   (((when (mbe :logic (zp (- (indnames-length indnamememo)
                              (nfix n)))
                :exec (eql n (indnames-length indnamememo))))
     (var-decl-map-fix acc))
    (entry (get-indname n indnamememo))
    (acc (if entry (b* (((indname-result entry)))
                     (hons-acons entry.varname
                                 entry.decl (var-decl-map-fix acc)))
           (var-decl-map-fix acc))))
   (indnamememo-to-var-decl-map (1+ (lnfix n))
                                indnamememo acc))))

Theorem: var-decl-map-p-of-indnamememo-to-var-decl-map

(defthm var-decl-map-p-of-indnamememo-to-var-decl-map
  (b* ((map (indnamememo-to-var-decl-map n indnamememo acc)))
    (var-decl-map-p map))
  :rule-classes :rewrite)

Theorem: indnamememo-to-var-decl-map-of-nfix-n

(defthm indnamememo-to-var-decl-map-of-nfix-n
  (equal (indnamememo-to-var-decl-map (nfix n)
                                      indnamememo acc)
         (indnamememo-to-var-decl-map n indnamememo acc)))

Theorem: indnamememo-to-var-decl-map-nat-equiv-congruence-on-n

(defthm indnamememo-to-var-decl-map-nat-equiv-congruence-on-n
 (implies
      (nat-equiv n n-equiv)
      (equal (indnamememo-to-var-decl-map n indnamememo acc)
             (indnamememo-to-var-decl-map n-equiv indnamememo acc)))
 :rule-classes :congruence)

Theorem: indnamememo-to-var-decl-map-of-var-decl-map-fix-acc

(defthm indnamememo-to-var-decl-map-of-var-decl-map-fix-acc
 (equal
  (indnamememo-to-var-decl-map n indnamememo (var-decl-map-fix acc))
  (indnamememo-to-var-decl-map n indnamememo acc)))

Theorem: indnamememo-to-var-decl-map-var-decl-map-equiv-congruence-on-acc

(defthm
   indnamememo-to-var-decl-map-var-decl-map-equiv-congruence-on-acc
 (implies
      (var-decl-map-equiv acc acc-equiv)
      (equal (indnamememo-to-var-decl-map n indnamememo acc)
             (indnamememo-to-var-decl-map n indnamememo acc-equiv)))
 :rule-classes :congruence)