		Search-engine friendly clone of the ACL2 documentation.

Import

Import->program

Get the program field from a import.

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

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

Definitions and Theorems

Function: import->program$inline

(defun import->program$inline (x)
  (declare (xargs :guard (importp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'import->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-import->program

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

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

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

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

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