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Abstract-syntax-unambp

Declor/absdeclor-unambp

Signature
(declor/absdeclor-unambp declor/absdeclor) → fty::result
Arguments: declor/absdeclor — Guard (declor/absdeclor-p declor/absdeclor).
Returns: fty::result — Type (booleanp fty::result).

Definitions and Theorems

Function: declor/absdeclor-unambp

(defun declor/absdeclor-unambp (declor/absdeclor)
 (declare (xargs :guard (declor/absdeclor-p declor/absdeclor)))
 (declare (ignorable declor/absdeclor))
 (let ((__function__ 'declor/absdeclor-unambp))
  (declare (ignorable __function__))
  (declor/absdeclor-case
   declor/absdeclor
   :declor (declor-unambp
                (declor/absdeclor-declor->declor declor/absdeclor))
   :absdeclor
   (absdeclor-unambp
        (declor/absdeclor-absdeclor->absdeclor declor/absdeclor)))))

Theorem: booleanp-of-declor/absdeclor-unambp

(defthm booleanp-of-declor/absdeclor-unambp
  (b* ((fty::result (declor/absdeclor-unambp declor/absdeclor)))
    (booleanp fty::result))
  :rule-classes :rewrite)

Theorem: declor/absdeclor-unambp-of-declor/absdeclor-fix-declor/absdeclor

(defthm
   declor/absdeclor-unambp-of-declor/absdeclor-fix-declor/absdeclor
 (equal
   (declor/absdeclor-unambp (declor/absdeclor-fix declor/absdeclor))
   (declor/absdeclor-unambp declor/absdeclor)))

Theorem: declor/absdeclor-unambp-declor/absdeclor-equiv-congruence-on-declor/absdeclor

(defthm
 declor/absdeclor-unambp-declor/absdeclor-equiv-congruence-on-declor/absdeclor
 (implies
    (declor/absdeclor-equiv declor/absdeclor declor/absdeclor-equiv)
    (equal (declor/absdeclor-unambp declor/absdeclor)
           (declor/absdeclor-unambp declor/absdeclor-equiv)))
 :rule-classes :congruence)