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• Moddb

Moddb-address->wiredecl

Given a wire address, find the corresponding wire declaration.

Signature

(moddb-address->wiredecl addr scope moddb) → wire

Arguments

addr — Guard (address-p addr).

scope — Guard (modscope-p scope).

moddb — Guard (moddb-ok moddb).

Returns

wire — Type (iff (wire-p wire) wire).

Definitions and Theorems

Function: moddb-address->wiredecl

(defun
 moddb-address->wiredecl
 (addr scope moddb)
 (declare (xargs :stobjs (moddb)))
 (declare (xargs :guard (and (address-p addr)
                             (modscope-p scope)
                             (moddb-ok moddb))))
 (declare (xargs :guard (modscope-okp scope moddb)))
 (let
   ((__function__ 'moddb-address->wiredecl))
   (declare (ignorable __function__))
   (b* (((address addr))
        ((modscope scope1)
         (if (eq addr.scope :root)
             (modscope->top scope)
             (modscope->nth addr.scope scope)))
        (wire (moddb-path->wiredecl addr.path scope1.modidx moddb)))
       wire)))

Theorem: return-type-of-moddb-address->wiredecl

(defthm return-type-of-moddb-address->wiredecl
        (b* ((wire (moddb-address->wiredecl addr scope moddb)))
            (iff (wire-p wire) wire))
        :rule-classes :rewrite)

Theorem: moddb-address->wiredecl-iff-wireidx

(defthm moddb-address->wiredecl-iff-wireidx
        (iff (moddb-address->wiredecl addr scope moddb)
             (moddb-address->wireidx addr scope moddb)))

Theorem: moddb-address->wiredecl-of-address-fix-addr

(defthm moddb-address->wiredecl-of-address-fix-addr
        (equal (moddb-address->wiredecl (address-fix addr)
                                        scope moddb)
               (moddb-address->wiredecl addr scope moddb)))

Theorem: moddb-address->wiredecl-address-equiv-congruence-on-addr

(defthm
  moddb-address->wiredecl-address-equiv-congruence-on-addr
  (implies (address-equiv addr addr-equiv)
           (equal (moddb-address->wiredecl addr scope moddb)
                  (moddb-address->wiredecl addr-equiv scope moddb)))
  :rule-classes :congruence)

Theorem: moddb-address->wiredecl-of-modscope-fix-scope

(defthm moddb-address->wiredecl-of-modscope-fix-scope
        (equal (moddb-address->wiredecl addr (modscope-fix scope)
                                        moddb)
               (moddb-address->wiredecl addr scope moddb)))

Theorem: moddb-address->wiredecl-modscope-equiv-congruence-on-scope

(defthm
  moddb-address->wiredecl-modscope-equiv-congruence-on-scope
  (implies (modscope-equiv scope scope-equiv)
           (equal (moddb-address->wiredecl addr scope moddb)
                  (moddb-address->wiredecl addr scope-equiv moddb)))
  :rule-classes :congruence)

Theorem: moddb-address->wiredecl-of-moddb-fix-moddb

(defthm
     moddb-address->wiredecl-of-moddb-fix-moddb
     (equal (moddb-address->wiredecl addr scope (moddb-fix moddb))
            (moddb-address->wiredecl addr scope moddb)))

Theorem: moddb-address->wiredecl-moddb-equiv-congruence-on-moddb

(defthm
  moddb-address->wiredecl-moddb-equiv-congruence-on-moddb
  (implies (moddb-equiv moddb moddb-equiv)
           (equal (moddb-address->wiredecl addr scope moddb)
                  (moddb-address->wiredecl addr scope moddb-equiv)))
  :rule-classes :congruence)