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Vl-expr-atoms

Gather all of the atoms throughout an expression.

Signature

(vl-expr-atoms x) → atoms

Arguments

x — Guard (vl-expr-p x).

Returns

atoms — Type (and (vl-exprlist-p atoms) (vl-atomlist-p atoms)).

We simply gather all of the vl-atom-ps in the expression, with repetition. The resulting list may contain any vl-atom-p, including even odd things like hid pieces and function names, which you might not usually think of as atoms.

Theorem: return-type-of-vl-expr-atoms.atoms

(defthm return-type-of-vl-expr-atoms.atoms
  (b* ((?atoms (vl-expr-atoms x)))
    (and (vl-exprlist-p atoms)
         (vl-atomlist-p atoms)))
  :rule-classes :rewrite)

Theorem: return-type-of-vl-exprlist-atoms.atoms

(defthm return-type-of-vl-exprlist-atoms.atoms
  (b* ((?atoms (vl-exprlist-atoms x)))
    (and (vl-exprlist-p atoms)
         (vl-atomlist-p atoms)))
  :rule-classes :rewrite)

Theorem: true-listp-of-vl-expr-atoms

(defthm true-listp-of-vl-expr-atoms
  (true-listp (vl-expr-atoms x))
  :rule-classes :type-prescription)

Theorem: true-listp-of-vl-exprlist-atoms

(defthm true-listp-of-vl-exprlist-atoms
  (true-listp (vl-exprlist-atoms x))
  :rule-classes :type-prescription)

Theorem: vl-expr-atoms-nrev-removal

(defthm vl-expr-atoms-nrev-removal
  (equal (vl-expr-atoms-nrev x nrev)
         (append nrev (vl-expr-atoms x))))

Theorem: vl-exprlist-atoms-nrev-removal

(defthm vl-exprlist-atoms-nrev-removal
  (equal (vl-exprlist-atoms-nrev x nrev)
         (append nrev (vl-exprlist-atoms x))))

Theorem: vl-expr-atoms-of-vl-expr-fix-x

(defthm vl-expr-atoms-of-vl-expr-fix-x
  (equal (vl-expr-atoms (vl-expr-fix x))
         (vl-expr-atoms x)))

Theorem: vl-exprlist-atoms-of-vl-exprlist-fix-x

(defthm vl-exprlist-atoms-of-vl-exprlist-fix-x
  (equal (vl-exprlist-atoms (vl-exprlist-fix x))
         (vl-exprlist-atoms x)))

Theorem: vl-expr-atoms-vl-expr-equiv-congruence-on-x

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

Theorem: vl-exprlist-atoms-vl-exprlist-equiv-congruence-on-x

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

Subtopics

Vl-exprlist-atoms

Vl-expr-atoms-nrev