		Search-engine friendly clone of the ACL2 documentation.

Expr-tools

Vl-expr-has-ops

Signature
(vl-expr-has-ops ops x) → *
Arguments: ops — Guard (vl-oplist-p ops).; x — Guard (vl-expr-p x).

Definitions and Theorems

Function: vl-expr-has-ops

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

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

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

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

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

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

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

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

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