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Wire

Wire->width

Get the width field from a wire.

Signature
(wire->width x) → width
Arguments: x — Guard (wire-p x).
Returns: width — Type (posp width).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: wire->width$inline

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

Theorem: posp-of-wire->width

(defthm posp-of-wire->width
  (b* ((width (wire->width$inline x)))
    (posp width))
  :rule-classes :type-prescription)

Theorem: wire->width$inline-of-wire-fix-x

(defthm wire->width$inline-of-wire-fix-x
  (equal (wire->width$inline (wire-fix x))
         (wire->width$inline x)))

Theorem: wire->width$inline-wire-equiv-congruence-on-x

(defthm wire->width$inline-wire-equiv-congruence-on-x
  (implies (wire-equiv x x-equiv)
           (equal (wire->width$inline x)
                  (wire->width$inline x-equiv)))
  :rule-classes :congruence)