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Param-declor-nonabstract

Param-declor-nonabstract->info

Get the info field from a param-declor-nonabstract.

Signature
(param-declor-nonabstract->info x) → info
Arguments: x — Guard (param-declorp x).
Returns: info — Type (acl2::any-p info).

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

Definitions and Theorems

Function: param-declor-nonabstract->info$inline

(defun param-declor-nonabstract->info$inline (x)
  (declare (xargs :guard (param-declorp x)))
  (declare (xargs :guard (equal (param-declor-kind x)
                                :nonabstract)))
  (mbe :logic
       (b* ((x (and (equal (param-declor-kind x)
                           :nonabstract)
                    x)))
         (identity (cdr (cdr x))))
       :exec (cdr (cdr x))))

Theorem: any-p-of-param-declor-nonabstract->info

(defthm any-p-of-param-declor-nonabstract->info
  (b* ((info (param-declor-nonabstract->info$inline x)))
    (acl2::any-p info))
  :rule-classes :rewrite)

Theorem: param-declor-nonabstract->info$inline-of-param-declor-fix-x

(defthm param-declor-nonabstract->info$inline-of-param-declor-fix-x
 (equal (param-declor-nonabstract->info$inline (param-declor-fix x))
        (param-declor-nonabstract->info$inline x)))

Theorem: param-declor-nonabstract->info$inline-param-declor-equiv-congruence-on-x

(defthm
 param-declor-nonabstract->info$inline-param-declor-equiv-congruence-on-x
 (implies (param-declor-equiv x x-equiv)
          (equal (param-declor-nonabstract->info$inline x)
                 (param-declor-nonabstract->info$inline x-equiv)))
 :rule-classes :congruence)

Theorem: param-declor-nonabstract->info-when-wrong-kind

(defthm param-declor-nonabstract->info-when-wrong-kind
  (implies (not (equal (param-declor-kind x)
                       :nonabstract))
           (equal (param-declor-nonabstract->info x)
                  (identity nil))))