		Search-engine friendly clone of the ACL2 documentation.

Atc-var-info

Atc-var-info->externalp

Get the externalp field from a atc-var-info.

Signature
(atc-var-info->externalp x) → externalp
Arguments: x — Guard (atc-var-infop x).
Returns: externalp — Type (booleanp externalp).

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

Definitions and Theorems

Function: atc-var-info->externalp$inline

(defun atc-var-info->externalp$inline (x)
  (declare (xargs :guard (atc-var-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-var-info->externalp))
    (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-atc-var-info->externalp

(defthm booleanp-of-atc-var-info->externalp
  (b* ((externalp (atc-var-info->externalp$inline x)))
    (booleanp externalp))
  :rule-classes :rewrite)

Theorem: atc-var-info->externalp$inline-of-atc-var-info-fix-x

(defthm atc-var-info->externalp$inline-of-atc-var-info-fix-x
  (equal (atc-var-info->externalp$inline (atc-var-info-fix x))
         (atc-var-info->externalp$inline x)))

Theorem: atc-var-info->externalp$inline-atc-var-info-equiv-congruence-on-x

(defthm
  atc-var-info->externalp$inline-atc-var-info-equiv-congruence-on-x
  (implies (atc-var-info-equiv x x-equiv)
           (equal (atc-var-info->externalp$inline x)
                  (atc-var-info->externalp$inline x-equiv)))
  :rule-classes :congruence)