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Declor/absdeclor-declor

Declor/absdeclor-declor->declor

Get the declor field from a declor/absdeclor-declor.

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

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

Definitions and Theorems

Function: declor/absdeclor-declor->declor$inline

(defun declor/absdeclor-declor->declor$inline (x)
  (declare (xargs :guard (declor/absdeclor-p x)))
  (declare (xargs :guard (equal (declor/absdeclor-kind x)
                                :declor)))
  (mbe :logic
       (b* ((x (and (equal (declor/absdeclor-kind x)
                           :declor)
                    x)))
         (declor-fix (cdr x)))
       :exec (cdr x)))

Theorem: declorp-of-declor/absdeclor-declor->declor

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

Theorem: declor/absdeclor-declor->declor$inline-of-declor/absdeclor-fix-x

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

Theorem: declor/absdeclor-declor->declor$inline-declor/absdeclor-equiv-congruence-on-x

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

Theorem: declor/absdeclor-declor->declor-when-wrong-kind

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