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Expression-struct-component

Expression-struct-component->component

Get the component field from a expression-struct-component.

Signature
(expression-struct-component->component x) → component
Arguments: x — Guard (expressionp x).
Returns: component — Type (identifierp component).

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

Definitions and Theorems

Function: expression-struct-component->component$inline

(defun expression-struct-component->component$inline (x)
  (declare (xargs :guard (expressionp x)))
  (declare (xargs :guard (equal (expression-kind x)
                                :struct-component)))
  (let ((__function__ 'expression-struct-component->component))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (expression-kind x)
                             :struct-component)
                      x)))
           (identifier-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: identifierp-of-expression-struct-component->component

(defthm identifierp-of-expression-struct-component->component
 (b* ((component (expression-struct-component->component$inline x)))
   (identifierp component))
 :rule-classes :rewrite)

Theorem: expression-struct-component->component$inline-of-expression-fix-x

(defthm
  expression-struct-component->component$inline-of-expression-fix-x
 (equal
  (expression-struct-component->component$inline (expression-fix x))
  (expression-struct-component->component$inline x)))

Theorem: expression-struct-component->component$inline-expression-equiv-congruence-on-x

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

Theorem: expression-struct-component->component-when-wrong-kind

(defthm expression-struct-component->component-when-wrong-kind
  (implies (not (equal (expression-kind x)
                       :struct-component))
           (equal (expression-struct-component->component x)
                  (identifier-fix nil))))