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Denv

Denv->structs

Get the structs field from a denv.

Signature
(denv->structs x) → structs
Arguments: x — Guard (denvp x).
Returns: structs — Type (struct-denvp structs).

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

Definitions and Theorems

Function: denv->structs$inline

(defun denv->structs$inline (x)
  (declare (xargs :guard (denvp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'denv->structs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (struct-denv-fix (cdr (std::da-nth 2 (cdr x)))))
         :exec (cdr (std::da-nth 2 (cdr x))))))

Theorem: struct-denvp-of-denv->structs

(defthm struct-denvp-of-denv->structs
  (b* ((structs (denv->structs$inline x)))
    (struct-denvp structs))
  :rule-classes :rewrite)

Theorem: denv->structs$inline-of-denv-fix-x

(defthm denv->structs$inline-of-denv-fix-x
  (equal (denv->structs$inline (denv-fix x))
         (denv->structs$inline x)))

Theorem: denv->structs$inline-denv-equiv-congruence-on-x

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