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• Fgl-env

Fgl-env->obj-alist

Get the obj-alist field from a fgl-env.

Signature

(fgl-env->obj-alist x) → obj-alist

Arguments

x — Guard (fgl-env-p x).

Returns

obj-alist — Type (obj-alist-p obj-alist).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: fgl-env->obj-alist$inline

(defun fgl-env->obj-alist$inline (x)
  (declare (xargs :guard (fgl-env-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'fgl-env->obj-alist))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (obj-alist-fix (std::prod-car x)))
         :exec (std::prod-car x))))

Theorem: obj-alist-p-of-fgl-env->obj-alist

(defthm obj-alist-p-of-fgl-env->obj-alist
  (b* ((obj-alist (fgl-env->obj-alist$inline x)))
    (obj-alist-p obj-alist))
  :rule-classes :rewrite)

Theorem: fgl-env->obj-alist$inline-of-fgl-env-fix-x

(defthm fgl-env->obj-alist$inline-of-fgl-env-fix-x
  (equal (fgl-env->obj-alist$inline (fgl-env-fix x))
         (fgl-env->obj-alist$inline x)))

Theorem: fgl-env->obj-alist$inline-fgl-env-equiv-congruence-on-x

(defthm fgl-env->obj-alist$inline-fgl-env-equiv-congruence-on-x
  (implies (fgl-env-equiv x x-equiv)
           (equal (fgl-env->obj-alist$inline x)
                  (fgl-env->obj-alist$inline x-equiv)))
  :rule-classes :congruence)