		Search-engine friendly clone of the ACL2 documentation.

Api+senv

Api+senv->api

Get the api field from a api+senv.

Signature
(api+senv->api x) → api
Arguments: x — Guard (api+senv-p x).
Returns: api — Type (apip api).

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

Definitions and Theorems

Function: api+senv->api$inline

(defun api+senv->api$inline (x)
  (declare (xargs :guard (api+senv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'api+senv->api))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (api-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: apip-of-api+senv->api

(defthm apip-of-api+senv->api
  (b* ((api (api+senv->api$inline x)))
    (apip api))
  :rule-classes :rewrite)

Theorem: api+senv->api$inline-of-api+senv-fix-x

(defthm api+senv->api$inline-of-api+senv-fix-x
  (equal (api+senv->api$inline (api+senv-fix x))
         (api+senv->api$inline x)))

Theorem: api+senv->api$inline-api+senv-equiv-congruence-on-x

(defthm api+senv->api$inline-api+senv-equiv-congruence-on-x
  (implies (api+senv-equiv x x-equiv)
           (equal (api+senv->api$inline x)
                  (api+senv->api$inline x-equiv)))
  :rule-classes :congruence)