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Compdecl

Compdecl->type

Get the type field from a compdecl.

Signature
(compdecl->type x) → type
Arguments: x — Guard (compdeclp x).
Returns: type — Type (typep type).

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

Definitions and Theorems

Function: compdecl->type$inline

(defun compdecl->type$inline (x)
  (declare (xargs :guard (compdeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'compdecl->type))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (type-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: typep-of-compdecl->type

(defthm typep-of-compdecl->type
  (b* ((type (compdecl->type$inline x)))
    (typep type))
  :rule-classes :rewrite)

Theorem: compdecl->type$inline-of-compdecl-fix-x

(defthm compdecl->type$inline-of-compdecl-fix-x
  (equal (compdecl->type$inline (compdecl-fix x))
         (compdecl->type$inline x)))

Theorem: compdecl->type$inline-compdecl-equiv-congruence-on-x

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