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Api+senv

Api+senv->senv

Get the senv field from a api+senv.

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

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

Definitions and Theorems

Function: api+senv->senv$inline

(defun api+senv->senv$inline (x)
  (declare (xargs :guard (api+senv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'api+senv->senv))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (senv-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

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

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

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

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

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

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