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Locator

Locator->program

Get the program field from a locator.

Signature
(locator->program x) → program
Arguments: x — Guard (locatorp x).
Returns: program — Type (programidp program).

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

Definitions and Theorems

Function: locator->program$inline

(defun locator->program$inline (x)
  (declare (xargs :guard (locatorp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'locator->program))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (programid-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: programidp-of-locator->program

(defthm programidp-of-locator->program
  (b* ((program (locator->program$inline x)))
    (programidp program))
  :rule-classes :rewrite)

Theorem: locator->program$inline-of-locator-fix-x

(defthm locator->program$inline-of-locator-fix-x
  (equal (locator->program$inline (locator-fix x))
         (locator->program$inline x)))

Theorem: locator->program$inline-locator-equiv-congruence-on-x

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