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Init-declor

Init-declor->initer?

Get the initer? field from a init-declor.

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

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

Definitions and Theorems

Function: init-declor->initer?$inline

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

Theorem: initer-optionp-of-init-declor->initer?

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

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

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

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

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