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Frame

Frame->binding

Get the binding field from a frame.

Signature
(frame->binding x) → binding
Arguments: x — Guard (framep x).
Returns: binding — Type (bindingp binding).

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

Definitions and Theorems

Function: frame->binding$inline

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

Theorem: bindingp-of-frame->binding

(defthm bindingp-of-frame->binding
  (b* ((binding (frame->binding$inline x)))
    (bindingp binding))
  :rule-classes :rewrite)

Theorem: frame->binding$inline-of-frame-fix-x

(defthm frame->binding$inline-of-frame-fix-x
  (equal (frame->binding$inline (frame-fix x))
         (frame->binding$inline x)))

Theorem: frame->binding$inline-frame-equiv-congruence-on-x

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