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Operand-program

Operand-program->get

Get the get field from a operand-program.

Signature
(operand-program->get x) → get
Arguments: x — Guard (operandp x).
Returns: get — Type (programidp get).

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

Definitions and Theorems

Function: operand-program->get$inline

(defun operand-program->get$inline (x)
  (declare (xargs :guard (operandp x)))
  (declare (xargs :guard (equal (operand-kind x) :program)))
  (let ((__function__ 'operand-program->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (operand-kind x) :program)
                      x)))
           (programid-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: programidp-of-operand-program->get

(defthm programidp-of-operand-program->get
  (b* ((get (operand-program->get$inline x)))
    (programidp get))
  :rule-classes :rewrite)

Theorem: operand-program->get$inline-of-operand-fix-x

(defthm operand-program->get$inline-of-operand-fix-x
  (equal (operand-program->get$inline (operand-fix x))
         (operand-program->get$inline x)))

Theorem: operand-program->get$inline-operand-equiv-congruence-on-x

(defthm operand-program->get$inline-operand-equiv-congruence-on-x
  (implies (operand-equiv x x-equiv)
           (equal (operand-program->get$inline x)
                  (operand-program->get$inline x-equiv)))
  :rule-classes :congruence)

Theorem: operand-program->get-when-wrong-kind

(defthm operand-program->get-when-wrong-kind
  (implies (not (equal (operand-kind x) :program))
           (equal (operand-program->get x)
                  (programid-fix nil))))