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Formalized-subset

Declor-block-formalp

Check if a declarator has formal dynamic semantics, as part of a block item declaration.

Signature
(declor-block-formalp declor) → yes/no
Arguments: declor — Guard (declorp declor).
Returns: yes/no — Type (booleanp yes/no).

The direct declarator part must be supported, and we can have any number of supported pointers.

Definitions and Theorems

Function: declor-block-formalp

(defun declor-block-formalp (declor)
  (declare (xargs :guard (declorp declor)))
  (declare (xargs :guard (declor-unambp declor)))
  (let ((__function__ 'declor-block-formalp))
    (declare (ignorable __function__))
    (and (pointers-formalp (declor->pointers declor))
         (dirdeclor-block-formalp (declor->direct declor)))))

Theorem: booleanp-of-declor-block-formalp

(defthm booleanp-of-declor-block-formalp
  (b* ((yes/no (declor-block-formalp declor)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: declor-block-formalp-of-declor-fix-declor

(defthm declor-block-formalp-of-declor-fix-declor
  (equal (declor-block-formalp (declor-fix declor))
         (declor-block-formalp declor)))

Theorem: declor-block-formalp-declor-equiv-congruence-on-declor

(defthm declor-block-formalp-declor-equiv-congruence-on-declor
  (implies (declor-equiv declor declor-equiv)
           (equal (declor-block-formalp declor)
                  (declor-block-formalp declor-equiv)))
  :rule-classes :congruence)