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Init-declor

Init-declor->info

Get the info field from a init-declor.

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

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

Definitions and Theorems

Function: init-declor->info$inline

(defun init-declor->info$inline (x)
  (declare (xargs :guard (init-declorp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (identity (cdr (cdr (cdr x)))))
       :exec (cdr (cdr (cdr x)))))

Theorem: any-p-of-init-declor->info

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

Theorem: init-declor->info$inline-of-init-declor-fix-x

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

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

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