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• Amb?-declor/absdeclor-absdeclor

Amb?-declor/absdeclor-absdeclor->absdeclor

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

Signature

(amb?-declor/absdeclor-absdeclor->absdeclor x) → absdeclor

Arguments

x — Guard (amb?-declor/absdeclor-p x).

Returns

absdeclor — Type (absdeclorp absdeclor).

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

Definitions and Theorems

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

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

Theorem: absdeclorp-of-amb?-declor/absdeclor-absdeclor->absdeclor

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

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

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

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

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

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

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