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Statement-decrement

Statement-decrement->amount

Get the amount field from a statement-decrement.

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

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

Definitions and Theorems

Function: statement-decrement->amount$inline

(defun statement-decrement->amount$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :decrement)))
  (let ((__function__ 'statement-decrement->amount))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :decrement)
                      x)))
           (expression-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: expressionp-of-statement-decrement->amount

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

Theorem: statement-decrement->amount$inline-of-statement-fix-x

(defthm statement-decrement->amount$inline-of-statement-fix-x
  (equal (statement-decrement->amount$inline (statement-fix x))
         (statement-decrement->amount$inline x)))

Theorem: statement-decrement->amount$inline-statement-equiv-congruence-on-x

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

Theorem: statement-decrement->amount-when-wrong-kind

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