		Search-engine friendly clone of the ACL2 documentation.

Importdecl

Importdecl->program

Get the program field from a importdecl.

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

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

Definitions and Theorems

Function: importdecl->program$inline

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

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

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

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

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

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