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Command-decrement

Command-decrement->value

Get the value field from a command-decrement.

Signature
(command-decrement->value x) → value
Arguments: x — Guard (commandp x).
Returns: value — Type (operandp value).

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

Definitions and Theorems

Function: command-decrement->value$inline

(defun command-decrement->value$inline (x)
  (declare (xargs :guard (commandp x)))
  (declare (xargs :guard (equal (command-kind x) :decrement)))
  (let ((__function__ 'command-decrement->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (command-kind x) :decrement)
                      x)))
           (operand-fix (std::da-nth 2 (cdr x))))
         :exec (std::da-nth 2 (cdr x)))))

Theorem: operandp-of-command-decrement->value

(defthm operandp-of-command-decrement->value
  (b* ((value (command-decrement->value$inline x)))
    (operandp value))
  :rule-classes :rewrite)

Theorem: command-decrement->value$inline-of-command-fix-x

(defthm command-decrement->value$inline-of-command-fix-x
  (equal (command-decrement->value$inline (command-fix x))
         (command-decrement->value$inline x)))

Theorem: command-decrement->value$inline-command-equiv-congruence-on-x

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

Theorem: command-decrement->value-when-wrong-kind

(defthm command-decrement->value-when-wrong-kind
  (implies (not (equal (command-kind x) :decrement))
           (equal (command-decrement->value x)
                  (operand-fix nil))))