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Init-declor

Init-declor->declor

Get the declor field from a init-declor.

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

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

Definitions and Theorems

Function: init-declor->declor$inline

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

Theorem: declorp-of-init-declor->declor

(defthm declorp-of-init-declor->declor
  (b* ((declor (init-declor->declor$inline x)))
    (declorp declor))
  :rule-classes :rewrite)

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

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

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

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