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Vl-repetition

Vl-repetition->left

Get the left field from a vl-repetition.

Signature
(vl-repetition->left x) → left
Arguments: x — Guard (vl-repetition-p x).
Returns: left — Type (vl-expr-p left).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-repetition->left$inline

(defun vl-repetition->left$inline (x)
  (declare (xargs :guard (vl-repetition-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-repetition->left))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (vl-expr-fix (std::prod-car (std::prod-cdr (cdr x)))))
         :exec (std::prod-car (std::prod-cdr (cdr x))))))

Theorem: vl-expr-p-of-vl-repetition->left

(defthm vl-expr-p-of-vl-repetition->left
  (b* ((left (vl-repetition->left$inline x)))
    (vl-expr-p left))
  :rule-classes :rewrite)

Theorem: vl-repetition->left$inline-of-vl-repetition-fix-x

(defthm vl-repetition->left$inline-of-vl-repetition-fix-x
  (equal (vl-repetition->left$inline (vl-repetition-fix x))
         (vl-repetition->left$inline x)))

Theorem: vl-repetition->left$inline-vl-repetition-equiv-congruence-on-x

(defthm
     vl-repetition->left$inline-vl-repetition-equiv-congruence-on-x
  (implies (vl-repetition-equiv x x-equiv)
           (equal (vl-repetition->left$inline x)
                  (vl-repetition->left$inline x-equiv)))
  :rule-classes :congruence)