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Jexpr-binary

Jexpr-binary->op

Get the op field from a jexpr-binary.

Signature
(jexpr-binary->op x) → op
Arguments: x — Guard (jexprp x).
Returns: op — Type (jbinopp op).

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

Definitions and Theorems

Function: jexpr-binary->op$inline

(defun jexpr-binary->op$inline (x)
  (declare (xargs :guard (jexprp x)))
  (declare (xargs :guard (equal (jexpr-kind x) :binary)))
  (let ((__function__ 'jexpr-binary->op))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (jexpr-kind x) :binary) x)))
           (jbinop-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: jbinopp-of-jexpr-binary->op

(defthm jbinopp-of-jexpr-binary->op
  (b* ((op (jexpr-binary->op$inline x)))
    (jbinopp op))
  :rule-classes :rewrite)

Theorem: jexpr-binary->op$inline-of-jexpr-fix-x

(defthm jexpr-binary->op$inline-of-jexpr-fix-x
  (equal (jexpr-binary->op$inline (jexpr-fix x))
         (jexpr-binary->op$inline x)))

Theorem: jexpr-binary->op$inline-jexpr-equiv-congruence-on-x

(defthm jexpr-binary->op$inline-jexpr-equiv-congruence-on-x
  (implies (jexpr-equiv x x-equiv)
           (equal (jexpr-binary->op$inline x)
                  (jexpr-binary->op$inline x-equiv)))
  :rule-classes :congruence)

Theorem: jexpr-binary->op-when-wrong-kind

(defthm jexpr-binary->op-when-wrong-kind
  (implies (not (equal (jexpr-kind x) :binary))
           (equal (jexpr-binary->op x)
                  (jbinop-fix nil))))