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• Svex-select

Svex-select-split-static

Signature

(svex-select-split-static x) 
  → 
(mv staticp dynamic-part static-part)

Arguments

x — Guard (svex-select-p x).

Returns

staticp — Type (equal staticp (svex-select-staticp x)).

dynamic-part — Type (svex-select-p dynamic-part).

static-part — Type (svex-select-p static-part).

Definitions and Theorems

Function: svex-select-split-static

(defun svex-select-split-static (x)
  (declare (xargs :guard (svex-select-p x)))
  (let ((__function__ 'svex-select-split-static))
    (declare (ignorable __function__))
    (svex-select-case
         x :var
         (mv t
             (svex-select-var *svex-longest-static-prefix-var*
                              x.width)
             (svex-select-fix x))
         :part
         (b* (((mv rest-staticp rest-dyn rest-stat)
               (svex-select-split-static x.subexp))
              ((when (and rest-staticp
                          (svex-case x.lsb
                                     :quote (4vec-index-p x.lsb.val)
                                     :otherwise nil)))
               (mv t
                   (svex-select-var *svex-longest-static-prefix-var*
                                    x.width)
                   (change-svex-select-part x
                                            :subexp rest-stat))))
           (mv nil
               (change-svex-select-part x
                                        :subexp rest-dyn)
               rest-stat)))))

Theorem: return-type-of-svex-select-split-static.staticp

(defthm return-type-of-svex-select-split-static.staticp
  (b* (((mv ?staticp ?dynamic-part ?static-part)
        (svex-select-split-static x)))
    (equal staticp (svex-select-staticp x)))
  :rule-classes :rewrite)

Theorem: svex-select-p-of-svex-select-split-static.dynamic-part

(defthm svex-select-p-of-svex-select-split-static.dynamic-part
  (b* (((mv ?staticp ?dynamic-part ?static-part)
        (svex-select-split-static x)))
    (svex-select-p dynamic-part))
  :rule-classes :rewrite)

Theorem: svex-select-p-of-svex-select-split-static.static-part

(defthm svex-select-p-of-svex-select-split-static.static-part
  (b* (((mv ?staticp ?dynamic-part ?static-part)
        (svex-select-split-static x)))
    (svex-select-p static-part))
  :rule-classes :rewrite)

Theorem: svex-select-inner-var-of-split-static

(defthm svex-select-inner-var-of-split-static
  (b* (((mv ?staticp ?dynamic-part ?static-part)
        (svex-select-split-static x)))
    (and (equal (svex-select-inner-var dynamic-part)
                *svex-longest-static-prefix-var*)
         (equal (svex-select-inner-var static-part)
                (svex-select-inner-var x)))))

Theorem: svex-select-split-static-dynamic-type-when-staticp

(defthm svex-select-split-static-dynamic-type-when-staticp
  (b* (((mv ?staticp ?dynamic-part ?static-part)
        (svex-select-split-static x)))
    (implies staticp
             (equal (svex-select-kind dynamic-part)
                    :var))))

Theorem: svex-selects-merge-of-split-static

(defthm svex-selects-merge-of-split-static
  (b* (((mv ?staticp ?dynamic-part ?static-part)
        (svex-select-split-static x)))
    (equal (svex-selects-merge dynamic-part static-part)
           (svex-select-fix x))))

Theorem: svex-select-split-static-of-svex-select-fix-x

(defthm svex-select-split-static-of-svex-select-fix-x
  (equal (svex-select-split-static (svex-select-fix x))
         (svex-select-split-static x)))

Theorem: svex-select-split-static-svex-select-equiv-congruence-on-x

(defthm svex-select-split-static-svex-select-equiv-congruence-on-x
  (implies (svex-select-equiv x x-equiv)
           (equal (svex-select-split-static x)
                  (svex-select-split-static x-equiv)))
  :rule-classes :congruence)