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Ctxexprs

Vl-initial-ctxexprs

Signature
(vl-initial-ctxexprs mod x) → alist
Arguments: mod — Guard (stringp mod).; x — Guard (vl-initial-p x).
Returns: alist — Type (vl-exprctxalist-p alist).

Definitions and Theorems

Function: vl-initial-ctxexprs

(defun vl-initial-ctxexprs (mod x)
  (declare (xargs :guard (and (stringp mod) (vl-initial-p x))))
  (let ((__function__ 'vl-initial-ctxexprs))
    (declare (ignorable __function__))
    (let ((x (vl-initial-fix x)))
      (vl-make-exprctxalist (vl-initial-allexprs x)
                            (make-vl-context1 :mod mod :elem x)))))

Theorem: vl-exprctxalist-p-of-vl-initial-ctxexprs

(defthm vl-exprctxalist-p-of-vl-initial-ctxexprs
  (b* ((alist (vl-initial-ctxexprs mod x)))
    (vl-exprctxalist-p alist))
  :rule-classes :rewrite)

Theorem: vl-initial-ctxexprs-of-str-fix-mod

(defthm vl-initial-ctxexprs-of-str-fix-mod
  (equal (vl-initial-ctxexprs (str-fix mod) x)
         (vl-initial-ctxexprs mod x)))

Theorem: vl-initial-ctxexprs-streqv-congruence-on-mod

(defthm vl-initial-ctxexprs-streqv-congruence-on-mod
  (implies (streqv mod mod-equiv)
           (equal (vl-initial-ctxexprs mod x)
                  (vl-initial-ctxexprs mod-equiv x)))
  :rule-classes :congruence)

Theorem: vl-initial-ctxexprs-of-vl-initial-fix-x

(defthm vl-initial-ctxexprs-of-vl-initial-fix-x
  (equal (vl-initial-ctxexprs mod (vl-initial-fix x))
         (vl-initial-ctxexprs mod x)))

Theorem: vl-initial-ctxexprs-vl-initial-equiv-congruence-on-x

(defthm vl-initial-ctxexprs-vl-initial-equiv-congruence-on-x
  (implies (vl-initial-equiv x x-equiv)
           (equal (vl-initial-ctxexprs mod x)
                  (vl-initial-ctxexprs mod x-equiv)))
  :rule-classes :congruence)

Subtopics

Vl-initial-ctxexprs-nrev