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• Hid-tools

Vl-hid-prefix-for-subhid

Given a hid and a suffix, such as a.b.c.d and c.d, return the hid without the suffix, i.e. a.b.

Signature

(vl-hid-prefix-for-subhid outer inner) → prefix-hid

Arguments

outer — Guard (vl-hidexpr-p outer).

inner — Guard (vl-hidexpr-p inner).

Returns

prefix-hid — Type (vl-hidexpr-p prefix-hid).

Definitions and Theorems

Function: vl-hid-prefix-for-subhid

(defun vl-hid-prefix-for-subhid (outer inner)
 (declare (xargs :guard (and (vl-hidexpr-p outer)
                             (vl-hidexpr-p inner))))
 (declare (xargs :guard (vl-subhid-p inner outer)))
 (let ((__function__ 'vl-hid-prefix-for-subhid))
  (declare (ignorable __function__))
  (vl-hidexpr-case
     outer :end (vl-hidexpr-fix outer)
     :dot
     (if (vl-hidexpr-equiv inner outer)
         (make-vl-hidexpr-end :name (vl-hidindex->name outer.first))
       (make-vl-hidexpr-dot
            :first outer.first
            :rest (vl-hid-prefix-for-subhid outer.rest inner))))))

Theorem: vl-hidexpr-p-of-vl-hid-prefix-for-subhid

(defthm vl-hidexpr-p-of-vl-hid-prefix-for-subhid
  (b* ((prefix-hid (vl-hid-prefix-for-subhid outer inner)))
    (vl-hidexpr-p prefix-hid))
  :rule-classes :rewrite)

Theorem: vl-hid-prefix-for-subhid-of-vl-hidexpr-fix-outer

(defthm vl-hid-prefix-for-subhid-of-vl-hidexpr-fix-outer
  (equal (vl-hid-prefix-for-subhid (vl-hidexpr-fix outer)
                                   inner)
         (vl-hid-prefix-for-subhid outer inner)))

Theorem: vl-hid-prefix-for-subhid-vl-hidexpr-equiv-congruence-on-outer

(defthm
      vl-hid-prefix-for-subhid-vl-hidexpr-equiv-congruence-on-outer
  (implies (vl-hidexpr-equiv outer outer-equiv)
           (equal (vl-hid-prefix-for-subhid outer inner)
                  (vl-hid-prefix-for-subhid outer-equiv inner)))
  :rule-classes :congruence)

Theorem: vl-hid-prefix-for-subhid-of-vl-hidexpr-fix-inner

(defthm vl-hid-prefix-for-subhid-of-vl-hidexpr-fix-inner
  (equal (vl-hid-prefix-for-subhid outer (vl-hidexpr-fix inner))
         (vl-hid-prefix-for-subhid outer inner)))

Theorem: vl-hid-prefix-for-subhid-vl-hidexpr-equiv-congruence-on-inner

(defthm
      vl-hid-prefix-for-subhid-vl-hidexpr-equiv-congruence-on-inner
  (implies (vl-hidexpr-equiv inner inner-equiv)
           (equal (vl-hid-prefix-for-subhid outer inner)
                  (vl-hid-prefix-for-subhid outer inner-equiv)))
  :rule-classes :congruence)