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Feat

Feat->m

Get the m field from a feat.

Signature
(feat->m x) → m
Arguments: x — Guard (featp x).
Returns: m — Type (booleanp m).

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

Definitions and Theorems

Function: feat->m$inline

(defun feat->m$inline (x)
  (declare (xargs :guard (featp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'feat->m))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::bool-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: booleanp-of-feat->m

(defthm booleanp-of-feat->m
  (b* ((m (feat->m$inline x)))
    (booleanp m))
  :rule-classes :rewrite)

Theorem: feat->m$inline-of-feat-fix-x

(defthm feat->m$inline-of-feat-fix-x
  (equal (feat->m$inline (feat-fix x))
         (feat->m$inline x)))

Theorem: feat->m$inline-feat-equiv-congruence-on-x

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