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Vl-qmark-p

Recognize a ? b : c and return the components, or return nils for each when it's not a ?: expression.

Signature

(vl-qmark-p x) → (mv a b c)

Arguments

x — Guard (vl-expr-p x).

Returns

a — Type (equal (vl-expr-p a) (if a t nil)).

b — Type (equal (vl-expr-p b) (if a t nil)).

c — Type (equal (vl-expr-p c) (if a t nil)).

Definitions and Theorems

Function: vl-qmark-p

(defun vl-qmark-p (x)
  (declare (xargs :guard (vl-expr-p x)))
  (let ((__function__ 'vl-qmark-p))
    (declare (ignorable __function__))
    (b* (((when (vl-fast-atom-p x))
          (mv nil nil nil))
         ((unless (and (eq (vl-nonatom->op x) :vl-qmark)
                       (mbt (equal (len (vl-nonatom->args x)) 3))))
          (mv nil nil nil))
         ((list a b c) (vl-nonatom->args x)))
      (mv a b c))))

Theorem: return-type-of-vl-qmark-p.a

(defthm return-type-of-vl-qmark-p.a
  (b* (((mv ?a ?b ?c) (vl-qmark-p x)))
    (equal (vl-expr-p a) (if a t nil)))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-qmark-p.b

(defthm return-type-of-vl-qmark-p.b
  (b* (((mv ?a ?b ?c) (vl-qmark-p x)))
    (equal (vl-expr-p b) (if a t nil)))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-qmark-p.c

(defthm return-type-of-vl-qmark-p.c
  (b* (((mv ?a ?b ?c) (vl-qmark-p x)))
    (equal (vl-expr-p c) (if a t nil)))
  :rule-classes :rewrite)

Theorem: vl-qmark-p-of-vl-expr-fix-x

(defthm vl-qmark-p-of-vl-expr-fix-x
  (equal (vl-qmark-p (vl-expr-fix x))
         (vl-qmark-p x)))

Theorem: vl-qmark-p-vl-expr-equiv-congruence-on-x

(defthm vl-qmark-p-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-qmark-p x)
                  (vl-qmark-p x-equiv)))
  :rule-classes :congruence)