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Paramdeclor-declor

Paramdeclor-declor->unwrap

Get the unwrap field from a paramdeclor-declor.

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

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

Definitions and Theorems

Function: paramdeclor-declor->unwrap$inline

(defun paramdeclor-declor->unwrap$inline (x)
  (declare (xargs :guard (paramdeclorp x)))
  (declare (xargs :guard (equal (paramdeclor-kind x) :declor)))
  (let ((__function__ 'paramdeclor-declor->unwrap))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (paramdeclor-kind x) :declor)
                      x)))
           (declor-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: declorp-of-paramdeclor-declor->unwrap

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

Theorem: paramdeclor-declor->unwrap$inline-of-paramdeclor-fix-x

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

Theorem: paramdeclor-declor->unwrap$inline-paramdeclor-equiv-congruence-on-x

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

Theorem: paramdeclor-declor->unwrap-when-wrong-kind

(defthm paramdeclor-declor->unwrap-when-wrong-kind
  (implies (not (equal (paramdeclor-kind x) :declor))
           (equal (paramdeclor-declor->unwrap x)
                  (declor-fix nil))))