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Statement-for

Statement-for->name

Get the name field from a statement-for.

Signature
(statement-for->name x) → name
Arguments: x — Guard (statementp x).
Returns: name — Type (identifierp name).

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

Definitions and Theorems

Function: statement-for->name$inline

(defun statement-for->name$inline (x)
  (declare (xargs :guard (statementp x)))
  (declare (xargs :guard (equal (statement-kind x) :for)))
  (let ((__function__ 'statement-for->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (statement-kind x) :for)
                      x)))
           (identifier-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: identifierp-of-statement-for->name

(defthm identifierp-of-statement-for->name
  (b* ((name (statement-for->name$inline x)))
    (identifierp name))
  :rule-classes :rewrite)

Theorem: statement-for->name$inline-of-statement-fix-x

(defthm statement-for->name$inline-of-statement-fix-x
  (equal (statement-for->name$inline (statement-fix x))
         (statement-for->name$inline x)))

Theorem: statement-for->name$inline-statement-equiv-congruence-on-x

(defthm statement-for->name$inline-statement-equiv-congruence-on-x
  (implies (statement-equiv x x-equiv)
           (equal (statement-for->name$inline x)
                  (statement-for->name$inline x-equiv)))
  :rule-classes :congruence)

Theorem: statement-for->name-when-wrong-kind

(defthm statement-for->name-when-wrong-kind
  (implies (not (equal (statement-kind x) :for))
           (equal (statement-for->name x)
                  (identifier-fix nil))))