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Svex-apply-overrides

Signature

(svex-apply-overrides x assigns) → assigns1

Arguments

x — Guard (lhs-overridelist-p x).

assigns — Guard (svex-alist-p assigns).

Returns

assigns1 — Type (svex-alist-p assigns1).

Definitions and Theorems

Function: svex-apply-overrides

(defun svex-apply-overrides (x assigns)
  (declare (xargs :guard (and (lhs-overridelist-p x)
                              (svex-alist-p assigns))))
  (let ((__function__ 'svex-apply-overrides))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (svex-alist-fix assigns))
         (assigns (svex-apply-overrides (cdr x) assigns))
         ((lhs-override xf) (car x)))
      (svex-override-lhs xf.lhs xf.test 0 xf.val assigns))))

Theorem: svex-alist-p-of-svex-apply-overrides

(defthm svex-alist-p-of-svex-apply-overrides
  (b* ((assigns1 (svex-apply-overrides x assigns)))
    (svex-alist-p assigns1))
  :rule-classes :rewrite)

Theorem: vars-of-svex-apply-overrides

(defthm vars-of-svex-apply-overrides
  (b* ((assigns1 (svex-apply-overrides x assigns)))
    (implies (and (not (member v (lhs-overridelist-vars x)))
                  (not (member v (svex-alist-vars assigns))))
             (not (member v (svex-alist-vars assigns1)))))
  :rule-classes :rewrite)

Theorem: lookup-of-svex-apply-overrides

(defthm lookup-of-svex-apply-overrides
  (b* ((assigns1 (svex-apply-overrides x assigns)))
    (implies (and (not (member v (lhs-overridelist-keys x)))
                  (not (svex-lookup v assigns))
                  (svar-p v))
             (not (svex-lookup v assigns1))))
  :rule-classes :rewrite)

Theorem: svex-apply-overrides-of-lhs-overridelist-fix-x

(defthm svex-apply-overrides-of-lhs-overridelist-fix-x
  (equal (svex-apply-overrides (lhs-overridelist-fix x)
                               assigns)
         (svex-apply-overrides x assigns)))

Theorem: svex-apply-overrides-lhs-overridelist-equiv-congruence-on-x

(defthm svex-apply-overrides-lhs-overridelist-equiv-congruence-on-x
  (implies (lhs-overridelist-equiv x x-equiv)
           (equal (svex-apply-overrides x assigns)
                  (svex-apply-overrides x-equiv assigns)))
  :rule-classes :congruence)

Theorem: svex-apply-overrides-of-svex-alist-fix-assigns

(defthm svex-apply-overrides-of-svex-alist-fix-assigns
  (equal (svex-apply-overrides x (svex-alist-fix assigns))
         (svex-apply-overrides x assigns)))

Theorem: svex-apply-overrides-svex-alist-equiv-congruence-on-assigns

(defthm svex-apply-overrides-svex-alist-equiv-congruence-on-assigns
  (implies (svex-alist-equiv assigns assigns-equiv)
           (equal (svex-apply-overrides x assigns)
                  (svex-apply-overrides x assigns-equiv)))
  :rule-classes :congruence)