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Compile.lisp

Svex-overridelist-keys

Signature
(svex-overridelist-keys x) → vars
Arguments: x — Guard (svex-overridelist-p x).
Returns: vars — Type (svarlist-p vars).

Definitions and Theorems

Function: svex-overridelist-keys

(defun svex-overridelist-keys (x)
  (declare (xargs :guard (svex-overridelist-p x)))
  (let ((__function__ 'svex-overridelist-keys))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (append (svex-vars (svex-override->wire (car x)))
              (svex-overridelist-keys (cdr x))))))

Theorem: svarlist-p-of-svex-overridelist-keys

(defthm svarlist-p-of-svex-overridelist-keys
  (b* ((vars (svex-overridelist-keys x)))
    (svarlist-p vars))
  :rule-classes :rewrite)

Theorem: svex-overridelist-keys-of-svex-overridelist-fix-x

(defthm svex-overridelist-keys-of-svex-overridelist-fix-x
  (equal (svex-overridelist-keys (svex-overridelist-fix x))
         (svex-overridelist-keys x)))

Theorem: svex-overridelist-keys-svex-overridelist-equiv-congruence-on-x

(defthm
     svex-overridelist-keys-svex-overridelist-equiv-congruence-on-x
  (implies (svex-overridelist-equiv x x-equiv)
           (equal (svex-overridelist-keys x)
                  (svex-overridelist-keys x-equiv)))
  :rule-classes :congruence)