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File

File->program

Get the program field from a file.

Signature
(file->program x) → program
Arguments: x — Guard (filep x).
Returns: program — Type (programdeclp program).

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

Definitions and Theorems

Function: file->program$inline

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

Theorem: programdeclp-of-file->program

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

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

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

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

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