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Vl-lucidctx

Vl-lucidctx->elem

Get the elem field from a vl-lucidctx.

Signature
(vl-lucidctx->elem x) → elem
Arguments: x — Guard (vl-lucidctx-p x).
Returns: elem — Type (vl-ctxelement-p elem).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-lucidctx->elem$inline

(defun vl-lucidctx->elem$inline (x)
  (declare (xargs :guard (vl-lucidctx-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-lucidctx->elem))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (vl-ctxelement-fix (std::prod-cdr (std::prod-car x))))
         :exec (std::prod-cdr (std::prod-car x)))))

Theorem: vl-ctxelement-p-of-vl-lucidctx->elem

(defthm vl-ctxelement-p-of-vl-lucidctx->elem
  (b* ((elem (vl-lucidctx->elem$inline x)))
    (vl-ctxelement-p elem))
  :rule-classes :rewrite)

Theorem: vl-lucidctx->elem$inline-of-vl-lucidctx-fix-x

(defthm vl-lucidctx->elem$inline-of-vl-lucidctx-fix-x
  (equal (vl-lucidctx->elem$inline (vl-lucidctx-fix x))
         (vl-lucidctx->elem$inline x)))

Theorem: vl-lucidctx->elem$inline-vl-lucidctx-equiv-congruence-on-x

(defthm vl-lucidctx->elem$inline-vl-lucidctx-equiv-congruence-on-x
  (implies (vl-lucidctx-equiv x x-equiv)
           (equal (vl-lucidctx->elem$inline x)
                  (vl-lucidctx->elem$inline x-equiv)))
  :rule-classes :congruence)