		Search-engine friendly clone of the ACL2 documentation.

Bool-format

Bool-format->trap

Get the trap field from a bool-format.

Signature
(bool-format->trap x) → trap
Arguments: x — Guard (bool-formatp x).
Returns: trap — Type (acl2::any-p trap).

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

Definitions and Theorems

Function: bool-format->trap$inline

(defun bool-format->trap$inline (x)
  (declare (xargs :guard (bool-formatp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (identity (cdr (std::da-nth 2 x))))
       :exec (cdr (std::da-nth 2 x))))

Theorem: any-p-of-bool-format->trap

(defthm any-p-of-bool-format->trap
  (b* ((trap (bool-format->trap$inline x)))
    (acl2::any-p trap))
  :rule-classes :rewrite)

Theorem: bool-format->trap$inline-of-bool-format-fix-x

(defthm bool-format->trap$inline-of-bool-format-fix-x
  (equal (bool-format->trap$inline (bool-format-fix x))
         (bool-format->trap$inline x)))

Theorem: bool-format->trap$inline-bool-format-equiv-congruence-on-x

(defthm bool-format->trap$inline-bool-format-equiv-congruence-on-x
  (implies (bool-format-equiv x x-equiv)
           (equal (bool-format->trap$inline x)
                  (bool-format->trap$inline x-equiv)))
  :rule-classes :congruence)