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Operands

Operands->op2

Get the op2 field from a operands.

Signature
(operands->op2 x) → op2
Arguments: x — Guard (operands-p x).
Returns: op2 — Type (operand-type-p op2).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: operands->op2$inline

(defun operands->op2$inline (x)
  (declare (xargs :guard (operands-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'operands->op2))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (operand-type-fix (std::prod-cdr (std::prod-car x))))
         :exec (std::prod-cdr (std::prod-car x)))))

Theorem: operand-type-p-of-operands->op2

(defthm operand-type-p-of-operands->op2
  (b* ((op2 (operands->op2$inline x)))
    (operand-type-p op2))
  :rule-classes :rewrite)

Theorem: operands->op2$inline-of-operands-fix-x

(defthm operands->op2$inline-of-operands-fix-x
  (equal (operands->op2$inline (operands-fix x))
         (operands->op2$inline x)))

Theorem: operands->op2$inline-operands-equiv-congruence-on-x

(defthm operands->op2$inline-operands-equiv-congruence-on-x
  (implies (operands-equiv x x-equiv)
           (equal (operands->op2$inline x)
                  (operands->op2$inline x-equiv)))
  :rule-classes :congruence)