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Statement-increment

Statement-increment->index

Get the index field from a statement-increment.

Signature
(statement-increment->index x) → index
Arguments: x — Guard (statementp x).
Returns: index — Type (expressionp index).

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

Definitions and Theorems

Function: statement-increment->index$inline

(defun statement-increment->index$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :increment)))
  (let ((__function__ 'statement-increment->index))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :increment)
                      x)))
           (expression-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: expressionp-of-statement-increment->index

(defthm expressionp-of-statement-increment->index
  (b* ((index (statement-increment->index$inline x)))
    (expressionp index))
  :rule-classes :rewrite)

Theorem: statement-increment->index$inline-of-statement-fix-x

(defthm statement-increment->index$inline-of-statement-fix-x
  (equal (statement-increment->index$inline (statement-fix x))
         (statement-increment->index$inline x)))

Theorem: statement-increment->index$inline-statement-equiv-congruence-on-x

(defthm
  statement-increment->index$inline-statement-equiv-congruence-on-x
  (implies (statement-equiv x x-equiv)
           (equal (statement-increment->index$inline x)
                  (statement-increment->index$inline x-equiv)))
  :rule-classes :congruence)

Theorem: statement-increment->index-when-wrong-kind

(defthm statement-increment->index-when-wrong-kind
  (implies (not (equal (statement-kind x) :increment))
           (equal (statement-increment->index x)
                  (expression-fix nil))))