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• Moddb

Moddb-wireidx->path

Convert a wire index to a path relative to the module it's in.

Signature

(moddb-wireidx->path wireidx modidx moddb) → path

Arguments

wireidx — Guard (natp wireidx).

modidx — Guard (natp modidx).

moddb — Guard (moddb-ok moddb).

Returns

path — Type (path-p path).

Definitions and Theorems

Function: moddb-wireidx->path

(defun
  moddb-wireidx->path
  (wireidx modidx moddb)
  (declare (xargs :stobjs (moddb)))
  (declare (xargs :guard (and (natp wireidx)
                              (natp modidx)
                              (moddb-ok moddb))))
  (declare
       (xargs :guard (and (< modidx (moddb->nmods moddb))
                          (< wireidx
                             (moddb-mod-totalwires modidx moddb)))))
  (let ((__function__ 'moddb-wireidx->path))
       (declare (ignorable __function__))
       (b* (((mv path ?wire)
             (moddb-wireidx->path/decl wireidx modidx moddb)))
           path)))

Theorem: path-p-of-moddb-wireidx->path

(defthm path-p-of-moddb-wireidx->path
        (b* ((path (moddb-wireidx->path wireidx modidx moddb)))
            (path-p path))
        :rule-classes :rewrite)

Theorem: moddb-wireidx->path-of-nfix-wireidx

(defthm moddb-wireidx->path-of-nfix-wireidx
        (equal (moddb-wireidx->path (nfix wireidx)
                                    modidx moddb)
               (moddb-wireidx->path wireidx modidx moddb)))

Theorem: moddb-wireidx->path-nat-equiv-congruence-on-wireidx

(defthm
  moddb-wireidx->path-nat-equiv-congruence-on-wireidx
  (implies (nat-equiv wireidx wireidx-equiv)
           (equal (moddb-wireidx->path wireidx modidx moddb)
                  (moddb-wireidx->path wireidx-equiv modidx moddb)))
  :rule-classes :congruence)

Theorem: moddb-wireidx->path-of-nfix-modidx

(defthm moddb-wireidx->path-of-nfix-modidx
        (equal (moddb-wireidx->path wireidx (nfix modidx)
                                    moddb)
               (moddb-wireidx->path wireidx modidx moddb)))

Theorem: moddb-wireidx->path-nat-equiv-congruence-on-modidx

(defthm
  moddb-wireidx->path-nat-equiv-congruence-on-modidx
  (implies (nat-equiv modidx modidx-equiv)
           (equal (moddb-wireidx->path wireidx modidx moddb)
                  (moddb-wireidx->path wireidx modidx-equiv moddb)))
  :rule-classes :congruence)

Theorem: moddb-wireidx->path-of-moddb-fix-moddb

(defthm
     moddb-wireidx->path-of-moddb-fix-moddb
     (equal (moddb-wireidx->path wireidx modidx (moddb-fix moddb))
            (moddb-wireidx->path wireidx modidx moddb)))

Theorem: moddb-wireidx->path-moddb-equiv-congruence-on-moddb

(defthm
  moddb-wireidx->path-moddb-equiv-congruence-on-moddb
  (implies (moddb-equiv moddb moddb-equiv)
           (equal (moddb-wireidx->path wireidx modidx moddb)
                  (moddb-wireidx->path wireidx modidx moddb-equiv)))
  :rule-classes :congruence)