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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)