		Search-engine friendly clone of the ACL2 documentation.

Lift-info

Lift-info->pred

Get the pred field from a lift-info.

Signature
(lift-info->pred x) → pred
Arguments: x — Guard (lift-infop x).
Returns: pred — Type (symbolp pred).

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

Definitions and Theorems

Function: lift-info->pred$inline

(defun lift-info->pred$inline (x)
  (declare (xargs :guard (lift-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'lift-info->pred))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: symbolp-of-lift-info->pred

(defthm symbolp-of-lift-info->pred
  (b* ((pred (lift-info->pred$inline x)))
    (symbolp pred))
  :rule-classes :rewrite)

Theorem: lift-info->pred$inline-of-lift-info-fix-x

(defthm lift-info->pred$inline-of-lift-info-fix-x
  (equal (lift-info->pred$inline (lift-info-fix x))
         (lift-info->pred$inline x)))

Theorem: lift-info->pred$inline-lift-info-equiv-congruence-on-x

(defthm lift-info->pred$inline-lift-info-equiv-congruence-on-x
  (implies (lift-info-equiv x x-equiv)
           (equal (lift-info->pred$inline x)
                  (lift-info->pred$inline x-equiv)))
  :rule-classes :congruence)