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Decl

Decl->name

Get the name field from a decl.

Signature
(decl->name x) → name
Arguments: x — Guard (decl-p x).
Returns: name — Type (symbolp name).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: decl->name$inline

(defun decl->name$inline (x)
  (declare (xargs :guard (decl-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'decl->name))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: symbolp-of-decl->name

(defthm symbolp-of-decl->name
  (b* ((name (decl->name$inline x)))
    (symbolp name))
  :rule-classes :rewrite)

Theorem: decl->name$inline-of-decl-fix-x

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

Theorem: decl->name$inline-decl-equiv-congruence-on-x

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