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Vl-implicitst

Vl-implicitst->imports

Get the imports field from a vl-implicitst.

Signature
(vl-implicitst->imports x) → imports
Arguments: x — Guard (vl-implicitst-p x).
Returns: imports — Type (acl2::any-p imports).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: vl-implicitst->imports$inline

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

Theorem: any-p-of-vl-implicitst->imports

(defthm any-p-of-vl-implicitst->imports
  (b* ((imports (vl-implicitst->imports$inline x)))
    (acl2::any-p imports))
  :rule-classes :rewrite)

Theorem: vl-implicitst->imports$inline-of-vl-implicitst-fix-x

(defthm vl-implicitst->imports$inline-of-vl-implicitst-fix-x
  (equal (vl-implicitst->imports$inline (vl-implicitst-fix x))
         (vl-implicitst->imports$inline x)))

Theorem: vl-implicitst->imports$inline-vl-implicitst-equiv-congruence-on-x

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