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Vl-exprlist-has-ops

Signature

(vl-exprlist-has-ops ops x) → *

Arguments

ops — Guard (vl-oplist-p ops).

x — Guard (vl-exprlist-p x).

Definitions and Theorems

Function: vl-exprlist-has-ops

(defun vl-exprlist-has-ops (ops x)
  (declare (xargs :guard (and (vl-oplist-p ops)
                              (vl-exprlist-p x))))
  (let ((__function__ 'vl-exprlist-has-ops))
    (declare (ignorable __function__))
    (mbe :logic (intersectp-equal (vl-oplist-fix ops)
                                  (vl-exprlist-ops x))
         :exec (vl-exprlist-has-ops-aux (list-fix ops)
                                        x))))

Theorem: vl-exprlist-has-ops-of-vl-oplist-fix-ops

(defthm vl-exprlist-has-ops-of-vl-oplist-fix-ops
  (equal (vl-exprlist-has-ops (vl-oplist-fix ops)
                              x)
         (vl-exprlist-has-ops ops x)))

Theorem: vl-exprlist-has-ops-vl-oplist-equiv-congruence-on-ops

(defthm vl-exprlist-has-ops-vl-oplist-equiv-congruence-on-ops
  (implies (vl-oplist-equiv ops ops-equiv)
           (equal (vl-exprlist-has-ops ops x)
                  (vl-exprlist-has-ops ops-equiv x)))
  :rule-classes :congruence)

Theorem: vl-exprlist-has-ops-of-vl-exprlist-fix-x

(defthm vl-exprlist-has-ops-of-vl-exprlist-fix-x
  (equal (vl-exprlist-has-ops ops (vl-exprlist-fix x))
         (vl-exprlist-has-ops ops x)))

Theorem: vl-exprlist-has-ops-vl-exprlist-equiv-congruence-on-x

(defthm vl-exprlist-has-ops-vl-exprlist-equiv-congruence-on-x
  (implies (vl-exprlist-equiv x x-equiv)
           (equal (vl-exprlist-has-ops ops x)
                  (vl-exprlist-has-ops ops x-equiv)))
  :rule-classes :congruence)