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Te-args

Te-args->symbol-index

Get the symbol-index field from a te-args.

Signature
(te-args->symbol-index x) → symbol-index
Arguments: x — Guard (te-args-p x).
Returns: symbol-index — Type (natp symbol-index).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: te-args->symbol-index$inline

(defun te-args->symbol-index$inline (x)
  (declare (xargs :guard (te-args-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'te-args->symbol-index))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (cdr (std::da-nth 3 x))))
         :exec (cdr (std::da-nth 3 x)))))

Theorem: natp-of-te-args->symbol-index

(defthm natp-of-te-args->symbol-index
  (b* ((symbol-index (te-args->symbol-index$inline x)))
    (natp symbol-index))
  :rule-classes :rewrite)

Theorem: te-args->symbol-index$inline-of-te-args-fix-x

(defthm te-args->symbol-index$inline-of-te-args-fix-x
  (equal (te-args->symbol-index$inline (te-args-fix x))
         (te-args->symbol-index$inline x)))

Theorem: te-args->symbol-index$inline-te-args-equiv-congruence-on-x

(defthm te-args->symbol-index$inline-te-args-equiv-congruence-on-x
  (implies (te-args-equiv x x-equiv)
           (equal (te-args->symbol-index$inline x)
                  (te-args->symbol-index$inline x-equiv)))
  :rule-classes :congruence)