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Lift-info

Lift-info->hyps

Get the hyps field from a lift-info.

Signature
(lift-info->hyps x) → hyps
Arguments: x — Guard (lift-infop x).
Returns: hyps — Type (true-listp hyps).

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

Definitions and Theorems

Function: lift-info->hyps$inline

(defun lift-info->hyps$inline (x)
  (declare (xargs :guard (lift-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'lift-info->hyps))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (list-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: true-listp-of-lift-info->hyps

(defthm true-listp-of-lift-info->hyps
  (b* ((hyps (lift-info->hyps$inline x)))
    (true-listp hyps))
  :rule-classes :rewrite)

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

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

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

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