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Expression-assoc-const

Expression-assoc-const->name

Get the name field from a expression-assoc-const.

Signature
(expression-assoc-const->name x) → name
Arguments: x — Guard (expressionp x).
Returns: name — Type (identifierp name).

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

Definitions and Theorems

Function: expression-assoc-const->name$inline

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

Theorem: identifierp-of-expression-assoc-const->name

(defthm identifierp-of-expression-assoc-const->name
  (b* ((name (expression-assoc-const->name$inline x)))
    (identifierp name))
  :rule-classes :rewrite)

Theorem: expression-assoc-const->name$inline-of-expression-fix-x

(defthm expression-assoc-const->name$inline-of-expression-fix-x
  (equal (expression-assoc-const->name$inline (expression-fix x))
         (expression-assoc-const->name$inline x)))

Theorem: expression-assoc-const->name$inline-expression-equiv-congruence-on-x

(defthm
 expression-assoc-const->name$inline-expression-equiv-congruence-on-x
 (implies (expression-equiv x x-equiv)
          (equal (expression-assoc-const->name$inline x)
                 (expression-assoc-const->name$inline x-equiv)))
 :rule-classes :congruence)

Theorem: expression-assoc-const->name-when-wrong-kind

(defthm expression-assoc-const->name-when-wrong-kind
  (implies (not (equal (expression-kind x)
                       :assoc-const))
           (equal (expression-assoc-const->name x)
                  (identifier-fix nil))))