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Programid

Programid->network

Get the network field from a programid.

Signature
(programid->network x) → network
Arguments: x — Guard (programidp x).
Returns: network — Type (identifierp network).

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

Definitions and Theorems

Function: programid->network$inline

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

Theorem: identifierp-of-programid->network

(defthm identifierp-of-programid->network
  (b* ((network (programid->network$inline x)))
    (identifierp network))
  :rule-classes :rewrite)

Theorem: programid->network$inline-of-programid-fix-x

(defthm programid->network$inline-of-programid-fix-x
  (equal (programid->network$inline (programid-fix x))
         (programid->network$inline x)))

Theorem: programid->network$inline-programid-equiv-congruence-on-x

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