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• Sv::vl-expr.lisp

Vl-trunc/extend-type-err

Signature

(vl-trunc/extend-type-err lhs-size rhs-selfsize) → err

Arguments

lhs-size — Guard (natp lhs-size).

rhs-selfsize — Guard (natp rhs-selfsize).

Returns

err — Type (vl-maybe-type-error-p err).

Definitions and Theorems

Function: vl-trunc/extend-type-err

(defun vl-trunc/extend-type-err (lhs-size rhs-selfsize)
 (declare (xargs :guard (and (natp lhs-size)
                             (natp rhs-selfsize))))
 (let ((__function__ 'vl-trunc/extend-type-err))
  (declare (ignorable __function__))
  (and
     (not (equal (lnfix lhs-size)
                 (lnfix rhs-selfsize)))
     (make-vl-type-error-trunc/extend :lhs-size lhs-size
                                      :rhs-selfsize rhs-selfsize))))

Theorem: vl-maybe-type-error-p-of-vl-trunc/extend-type-err

(defthm vl-maybe-type-error-p-of-vl-trunc/extend-type-err
  (b* ((err (vl-trunc/extend-type-err lhs-size rhs-selfsize)))
    (vl-maybe-type-error-p err))
  :rule-classes :rewrite)

Theorem: vl-trunc/extend-type-err-of-nfix-lhs-size

(defthm vl-trunc/extend-type-err-of-nfix-lhs-size
  (equal (vl-trunc/extend-type-err (nfix lhs-size)
                                   rhs-selfsize)
         (vl-trunc/extend-type-err lhs-size rhs-selfsize)))

Theorem: vl-trunc/extend-type-err-nat-equiv-congruence-on-lhs-size

(defthm vl-trunc/extend-type-err-nat-equiv-congruence-on-lhs-size
 (implies
     (acl2::nat-equiv lhs-size lhs-size-equiv)
     (equal (vl-trunc/extend-type-err lhs-size rhs-selfsize)
            (vl-trunc/extend-type-err lhs-size-equiv rhs-selfsize)))
 :rule-classes :congruence)

Theorem: vl-trunc/extend-type-err-of-nfix-rhs-selfsize

(defthm vl-trunc/extend-type-err-of-nfix-rhs-selfsize
  (equal (vl-trunc/extend-type-err lhs-size (nfix rhs-selfsize))
         (vl-trunc/extend-type-err lhs-size rhs-selfsize)))

Theorem: vl-trunc/extend-type-err-nat-equiv-congruence-on-rhs-selfsize

(defthm
      vl-trunc/extend-type-err-nat-equiv-congruence-on-rhs-selfsize
 (implies
     (acl2::nat-equiv rhs-selfsize rhs-selfsize-equiv)
     (equal (vl-trunc/extend-type-err lhs-size rhs-selfsize)
            (vl-trunc/extend-type-err lhs-size rhs-selfsize-equiv)))
 :rule-classes :congruence)