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Atc-fn-info

Atc-fn-info->guard

Get the guard field from a atc-fn-info.

Signature
(atc-fn-info->guard x) → guard
Arguments: x — Guard (atc-fn-infop x).
Returns: guard — Type (symbolp guard).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: atc-fn-info->guard$inline

(defun atc-fn-info->guard$inline (x)
  (declare (xargs :guard (atc-fn-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-fn-info->guard))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-fix (cdr (std::da-nth 11 x))))
         :exec (cdr (std::da-nth 11 x)))))

Theorem: symbolp-of-atc-fn-info->guard

(defthm symbolp-of-atc-fn-info->guard
  (b* ((guard (atc-fn-info->guard$inline x)))
    (symbolp guard))
  :rule-classes :rewrite)

Theorem: atc-fn-info->guard$inline-of-atc-fn-info-fix-x

(defthm atc-fn-info->guard$inline-of-atc-fn-info-fix-x
  (equal (atc-fn-info->guard$inline (atc-fn-info-fix x))
         (atc-fn-info->guard$inline x)))

Theorem: atc-fn-info->guard$inline-atc-fn-info-equiv-congruence-on-x

(defthm atc-fn-info->guard$inline-atc-fn-info-equiv-congruence-on-x
  (implies (atc-fn-info-equiv x x-equiv)
           (equal (atc-fn-info->guard$inline x)
                  (atc-fn-info->guard$inline x-equiv)))
  :rule-classes :congruence)