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Lhprobe

Lhprobe->stage

Get the stage field from a lhprobe.

Signature
(lhprobe->stage x) → stage
Arguments: x — Guard (lhprobe-p x).
Returns: stage — Type (natp stage).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: lhprobe->stage$inline

(defun lhprobe->stage$inline (x)
  (declare (xargs :guard (lhprobe-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'lhprobe->stage))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (car (cdr x))))
         :exec (car (cdr x)))))

Theorem: natp-of-lhprobe->stage

(defthm natp-of-lhprobe->stage
  (b* ((stage (lhprobe->stage$inline x)))
    (natp stage))
  :rule-classes :type-prescription)

Theorem: lhprobe->stage$inline-of-lhprobe-fix-x

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

Theorem: lhprobe->stage$inline-lhprobe-equiv-congruence-on-x

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