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Input-expression

Input-expression->get

Get the get field from a input-expression.

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

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

Definitions and Theorems

Function: input-expression->get$inline

(defun input-expression->get$inline (x)
  (declare (xargs :guard (input-expressionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'input-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-input-expression->get

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

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

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

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

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