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Rewrite

Rewrite->hyps

Get the hyps field from a rewrite.

Signature
(rewrite->hyps x) → hyps
Arguments: x — Guard (rewrite-p x).
Returns: hyps — Type (pseudo-term-listp hyps).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: rewrite->hyps$inline

(defun rewrite->hyps$inline (x)
  (declare (xargs :guard (rewrite-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'rewrite->hyps))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-list-fix (std::da-nth 0 x)))
         :exec (std::da-nth 0 x))))

Theorem: pseudo-term-listp-of-rewrite->hyps

(defthm pseudo-term-listp-of-rewrite->hyps
  (b* ((hyps (rewrite->hyps$inline x)))
    (pseudo-term-listp hyps))
  :rule-classes :rewrite)

Theorem: rewrite->hyps$inline-of-rewrite-fix-x

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

Theorem: rewrite->hyps$inline-rewrite-equiv-congruence-on-x

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