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Operands

Operands->op3

Get the op3 field from a operands.

Signature
(operands->op3 x) → op3
Arguments: x — Guard (operands-p x).
Returns: op3 — Type (operand-type-p op3).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: operands->op3$inline

(defun operands->op3$inline (x)
  (declare (xargs :guard (operands-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'operands->op3))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (operand-type-fix (std::prod-car (std::prod-cdr x))))
         :exec (std::prod-car (std::prod-cdr x)))))

Theorem: operand-type-p-of-operands->op3

(defthm operand-type-p-of-operands->op3
  (b* ((op3 (operands->op3$inline x)))
    (operand-type-p op3))
  :rule-classes :rewrite)

Theorem: operands->op3$inline-of-operands-fix-x

(defthm operands->op3$inline-of-operands-fix-x
  (equal (operands->op3$inline (operands-fix x))
         (operands->op3$inline x)))

Theorem: operands->op3$inline-operands-equiv-congruence-on-x

(defthm operands->op3$inline-operands-equiv-congruence-on-x
  (implies (operands-equiv x x-equiv)
           (equal (operands->op3$inline x)
                  (operands->op3$inline x-equiv)))
  :rule-classes :congruence)