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• Moddb.lisp

Moddb-add-module

Signature

(moddb-add-module elab-mod moddb) → (mv elab-mod moddb)

Arguments

moddb — Guard (moddbp moddb).

Definitions and Theorems

Function: moddb-add-module

(defun moddb-add-module (elab-mod moddb)
 (declare (xargs :stobjs (elab-mod moddb)))
 (declare (xargs :guard (moddbp moddb)))
 (declare
   (xargs
        :guard
        (and (moddb-ok moddb)
             (not (moddb-modname-get-index (elab-mod->name elab-mod)
                                           moddb)))))
 (let ((__function__ 'moddb-add-module))
   (declare (ignorable __function__))
   (b* ((moddb (moddb-maybe-grow moddb)))
     (moddb-add-module1 elab-mod moddb))))

Theorem: moddb-add-module-of-elab-mod$a-fix-elab-mod

(defthm moddb-add-module-of-elab-mod$a-fix-elab-mod
  (equal (moddb-add-module (elab-mod$a-fix elab-mod)
                           moddb)
         (moddb-add-module elab-mod moddb)))

Theorem: moddb-add-module-elab-mod$a-equiv-congruence-on-elab-mod

(defthm moddb-add-module-elab-mod$a-equiv-congruence-on-elab-mod
  (implies (elab-mod$a-equiv elab-mod elab-mod-equiv)
           (equal (moddb-add-module elab-mod moddb)
                  (moddb-add-module elab-mod-equiv moddb)))
  :rule-classes :congruence)

Theorem: moddb-add-module-of-moddb-fix-moddb

(defthm moddb-add-module-of-moddb-fix-moddb
  (equal (moddb-add-module elab-mod (moddb-fix moddb))
         (moddb-add-module elab-mod moddb)))

Theorem: moddb-add-module-moddb-equiv-congruence-on-moddb

(defthm moddb-add-module-moddb-equiv-congruence-on-moddb
  (implies (moddb-equiv moddb moddb-equiv)
           (equal (moddb-add-module elab-mod moddb)
                  (moddb-add-module elab-mod moddb-equiv)))
  :rule-classes :congruence)