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Pflat

Pflat->width

Get the width field from a pflat.

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

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: pflat->width$inline

(defun pflat->width$inline (x)
  (declare (xargs :guard (pflat-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'pflat->width))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::pos-fix (std::prod-car x)))
         :exec (std::prod-car x))))

Theorem: posp-of-pflat->width

(defthm posp-of-pflat->width
  (b* ((width (pflat->width$inline x)))
    (posp width))
  :rule-classes :rewrite)

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

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

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

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