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Atc-var-info

Atc-var-info->thm

Get the thm field from a atc-var-info.

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

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

Definitions and Theorems

Function: atc-var-info->thm$inline

(defun atc-var-info->thm$inline (x)
  (declare (xargs :guard (atc-var-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atc-var-info->thm))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: symbolp-of-atc-var-info->thm

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

Theorem: atc-var-info->thm$inline-of-atc-var-info-fix-x

(defthm atc-var-info->thm$inline-of-atc-var-info-fix-x
  (equal (atc-var-info->thm$inline (atc-var-info-fix x))
         (atc-var-info->thm$inline x)))

Theorem: atc-var-info->thm$inline-atc-var-info-equiv-congruence-on-x

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