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Valid-ord-info-objfun

Valid-ord-info-objfun->linkage

Get the linkage field from a valid-ord-info-objfun.

Signature
(valid-ord-info-objfun->linkage x) → linkage
Arguments: x — Guard (valid-ord-infop x).
Returns: linkage — Type (linkagep linkage).

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

Definitions and Theorems

Function: valid-ord-info-objfun->linkage$inline

(defun valid-ord-info-objfun->linkage$inline (x)
  (declare (xargs :guard (valid-ord-infop x)))
  (declare (xargs :guard (equal (valid-ord-info-kind x)
                                :objfun)))
  (mbe :logic
       (b* ((x (and (equal (valid-ord-info-kind x) :objfun)
                    x)))
         (linkage-fix (std::da-nth 1 (cdr x))))
       :exec (std::da-nth 1 (cdr x))))

Theorem: linkagep-of-valid-ord-info-objfun->linkage

(defthm linkagep-of-valid-ord-info-objfun->linkage
  (b* ((linkage (valid-ord-info-objfun->linkage$inline x)))
    (linkagep linkage))
  :rule-classes :rewrite)

Theorem: valid-ord-info-objfun->linkage$inline-of-valid-ord-info-fix-x

(defthm
      valid-ord-info-objfun->linkage$inline-of-valid-ord-info-fix-x
 (equal
      (valid-ord-info-objfun->linkage$inline (valid-ord-info-fix x))
      (valid-ord-info-objfun->linkage$inline x)))

Theorem: valid-ord-info-objfun->linkage$inline-valid-ord-info-equiv-congruence-on-x

(defthm
 valid-ord-info-objfun->linkage$inline-valid-ord-info-equiv-congruence-on-x
 (implies (valid-ord-info-equiv x x-equiv)
          (equal (valid-ord-info-objfun->linkage$inline x)
                 (valid-ord-info-objfun->linkage$inline x-equiv)))
 :rule-classes :congruence)

Theorem: valid-ord-info-objfun->linkage-when-wrong-kind

(defthm valid-ord-info-objfun->linkage-when-wrong-kind
  (implies (not (equal (valid-ord-info-kind x) :objfun))
           (equal (valid-ord-info-objfun->linkage x)
                  (linkage-fix nil))))