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Backtrace-frame

Backtrace-frame->index

Get the index field from a backtrace-frame.

Signature
(backtrace-frame->index x) → index
Arguments: x — Guard (backtrace-frame-p x).
Returns: index — Type (natp index).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: backtrace-frame->index$inline

(defun backtrace-frame->index$inline (x)
  (declare (xargs :guard (backtrace-frame-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'backtrace-frame->index))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (std::da-nth 0 x)))
         :exec (std::da-nth 0 x))))

Theorem: natp-of-backtrace-frame->index

(defthm natp-of-backtrace-frame->index
  (b* ((index (backtrace-frame->index$inline x)))
    (natp index))
  :rule-classes :type-prescription)

Theorem: backtrace-frame->index$inline-of-backtrace-frame-fix-x

(defthm backtrace-frame->index$inline-of-backtrace-frame-fix-x
  (equal (backtrace-frame->index$inline (backtrace-frame-fix x))
         (backtrace-frame->index$inline x)))

Theorem: backtrace-frame->index$inline-backtrace-frame-equiv-congruence-on-x

(defthm
 backtrace-frame->index$inline-backtrace-frame-equiv-congruence-on-x
 (implies (backtrace-frame-equiv x x-equiv)
          (equal (backtrace-frame->index$inline x)
                 (backtrace-frame->index$inline x-equiv)))
 :rule-classes :congruence)