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Struct-declor

Struct-declor->declor?

Get the declor? field from a struct-declor.

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

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

Definitions and Theorems

Function: struct-declor->declor?$inline

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

Theorem: declor-optionp-of-struct-declor->declor?

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

Theorem: struct-declor->declor?$inline-of-struct-declor-fix-x

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

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

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