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Output-expression

Output-expression->get

Get the get field from a output-expression.

Signature
(output-expression->get x) → get
Arguments: x — Guard (output-expressionp x).
Returns: get — Type (expressionp get).

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

Definitions and Theorems

Function: output-expression->get$inline

(defun output-expression->get$inline (x)
  (declare (xargs :guard (output-expressionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'output-expression->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expression-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: expressionp-of-output-expression->get

(defthm expressionp-of-output-expression->get
  (b* ((get (output-expression->get$inline x)))
    (expressionp get))
  :rule-classes :rewrite)

Theorem: output-expression->get$inline-of-output-expression-fix-x

(defthm output-expression->get$inline-of-output-expression-fix-x
  (equal (output-expression->get$inline (output-expression-fix x))
         (output-expression->get$inline x)))

Theorem: output-expression->get$inline-output-expression-equiv-congruence-on-x

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