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Frame

Frame->term

Get the term field from a frame.

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

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

Definitions and Theorems

Function: frame->term$inline

(defun frame->term$inline (x)
  (declare (xargs :guard (framep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'frame->term))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (tterm-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: ttermp-of-frame->term

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

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

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

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

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