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• Vl-replicate-orig-instnames

Vl-replicate-orig-instnames1

Signature

(vl-replicate-orig-instnames1 low high instname) → names

Arguments

low — Guard (natp low).

high — Guard (natp high).

instname — Guard (stringp instname).

Returns

names — Verilog-style names in lowest-first order, e.g., ("foo[3]" "foo[4]" "foo[5]").
    Type (string-listp names).

Definitions and Theorems

Function: vl-replicate-orig-instnames1

(defun vl-replicate-orig-instnames1 (low high instname)
  (declare (xargs :guard (and (natp low)
                              (natp high)
                              (stringp instname))))
  (declare (xargs :guard (<= low high)))
  (let ((__function__ 'vl-replicate-orig-instnames1))
    (declare (ignorable __function__))
    (b* ((low (lnfix low))
         (high (lnfix high))
         (name (cat instname "[" (natstr low) "]"))
         ((when (mbe :logic (zp (- high low))
                     :exec (eql low high)))
          (list name)))
      (cons name
            (vl-replicate-orig-instnames1 (+ 1 low)
                                          high instname)))))

Theorem: string-listp-of-vl-replicate-orig-instnames1

(defthm string-listp-of-vl-replicate-orig-instnames1
  (b* ((names (vl-replicate-orig-instnames1 low high instname)))
    (string-listp names))
  :rule-classes :rewrite)

Theorem: len-of-vl-replicate-orig-instnames1

(defthm len-of-vl-replicate-orig-instnames1
  (equal (len (vl-replicate-orig-instnames1 low high instname))
         (+ 1 (nfix (- (nfix high) (nfix low))))))

Theorem: vl-replicate-orig-instnames1-of-nfix-low

(defthm vl-replicate-orig-instnames1-of-nfix-low
  (equal (vl-replicate-orig-instnames1 (nfix low)
                                       high instname)
         (vl-replicate-orig-instnames1 low high instname)))

Theorem: vl-replicate-orig-instnames1-nat-equiv-congruence-on-low

(defthm vl-replicate-orig-instnames1-nat-equiv-congruence-on-low
 (implies
     (acl2::nat-equiv low low-equiv)
     (equal (vl-replicate-orig-instnames1 low high instname)
            (vl-replicate-orig-instnames1 low-equiv high instname)))
 :rule-classes :congruence)

Theorem: vl-replicate-orig-instnames1-of-nfix-high

(defthm vl-replicate-orig-instnames1-of-nfix-high
  (equal (vl-replicate-orig-instnames1 low (nfix high)
                                       instname)
         (vl-replicate-orig-instnames1 low high instname)))

Theorem: vl-replicate-orig-instnames1-nat-equiv-congruence-on-high

(defthm vl-replicate-orig-instnames1-nat-equiv-congruence-on-high
 (implies
     (acl2::nat-equiv high high-equiv)
     (equal (vl-replicate-orig-instnames1 low high instname)
            (vl-replicate-orig-instnames1 low high-equiv instname)))
 :rule-classes :congruence)

Theorem: vl-replicate-orig-instnames1-of-str-fix-instname

(defthm vl-replicate-orig-instnames1-of-str-fix-instname
  (equal (vl-replicate-orig-instnames1 low high (str-fix instname))
         (vl-replicate-orig-instnames1 low high instname)))

Theorem: vl-replicate-orig-instnames1-streqv-congruence-on-instname

(defthm vl-replicate-orig-instnames1-streqv-congruence-on-instname
 (implies
     (streqv instname instname-equiv)
     (equal (vl-replicate-orig-instnames1 low high instname)
            (vl-replicate-orig-instnames1 low high instname-equiv)))
 :rule-classes :congruence)