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Lhprobe-constraint

Lhprobe-constraint->val

Get the val field from a lhprobe-constraint.

Signature
(lhprobe-constraint->val x) → val
Arguments: x — Guard (lhprobe-constraint-p x).
Returns: val — Type (lhprobe/4vec-p val).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: lhprobe-constraint->val$inline

(defun lhprobe-constraint->val$inline (x)
  (declare (xargs :guard (lhprobe-constraint-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'lhprobe-constraint->val))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (lhprobe/4vec-fix (cdr x)))
         :exec (cdr x))))

Theorem: lhprobe/4vec-p-of-lhprobe-constraint->val

(defthm lhprobe/4vec-p-of-lhprobe-constraint->val
  (b* ((val (lhprobe-constraint->val$inline x)))
    (lhprobe/4vec-p val))
  :rule-classes :rewrite)

Theorem: lhprobe-constraint->val$inline-of-lhprobe-constraint-fix-x

(defthm lhprobe-constraint->val$inline-of-lhprobe-constraint-fix-x
  (equal (lhprobe-constraint->val$inline (lhprobe-constraint-fix x))
         (lhprobe-constraint->val$inline x)))

Theorem: lhprobe-constraint->val$inline-lhprobe-constraint-equiv-congruence-on-x

(defthm
 lhprobe-constraint->val$inline-lhprobe-constraint-equiv-congruence-on-x
 (implies (lhprobe-constraint-equiv x x-equiv)
          (equal (lhprobe-constraint->val$inline x)
                 (lhprobe-constraint->val$inline x-equiv)))
 :rule-classes :congruence)