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Deftreeops-rulename-info

Deftreeops-rulename-info->conc-equivs-thm

Get the conc-equivs-thm field from a deftreeops-rulename-info.

Signature
(deftreeops-rulename-info->conc-equivs-thm x) → conc-equivs-thm
Arguments: x — Guard (deftreeops-rulename-infop x).
Returns: conc-equivs-thm — Type (common-lisp::symbolp conc-equivs-thm).

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

Definitions and Theorems

Function: deftreeops-rulename-info->conc-equivs-thm$inline

(defun deftreeops-rulename-info->conc-equivs-thm$inline (x)
  (declare (xargs :guard (deftreeops-rulename-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'deftreeops-rulename-info->conc-equivs-thm))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::symbol-fix (cdr (std::da-nth 5 x))))
         :exec (cdr (std::da-nth 5 x)))))

Theorem: symbolp-of-deftreeops-rulename-info->conc-equivs-thm

(defthm symbolp-of-deftreeops-rulename-info->conc-equivs-thm
  (b* ((conc-equivs-thm
            (deftreeops-rulename-info->conc-equivs-thm$inline x)))
    (common-lisp::symbolp conc-equivs-thm))
  :rule-classes :rewrite)

Theorem: deftreeops-rulename-info->conc-equivs-thm$inline-of-deftreeops-rulename-info-fix-x

(defthm
 deftreeops-rulename-info->conc-equivs-thm$inline-of-deftreeops-rulename-info-fix-x
 (equal (deftreeops-rulename-info->conc-equivs-thm$inline
             (deftreeops-rulename-info-fix x))
        (deftreeops-rulename-info->conc-equivs-thm$inline x)))

Theorem: deftreeops-rulename-info->conc-equivs-thm$inline-deftreeops-rulename-info-equiv-congruence-on-x

(defthm
 deftreeops-rulename-info->conc-equivs-thm$inline-deftreeops-rulename-info-equiv-congruence-on-x
 (implies
   (deftreeops-rulename-info-equiv x x-equiv)
   (equal
        (deftreeops-rulename-info->conc-equivs-thm$inline x)
        (deftreeops-rulename-info->conc-equivs-thm$inline x-equiv)))
 :rule-classes :congruence)