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• Module

Module-vars

Signature

(module-vars x) → vars

Arguments

x — Guard (module-p x).

Returns

vars — Type (svarlist-p vars).

Definitions and Theorems

Function: module-vars

(defun module-vars (x)
  (declare (xargs :guard (module-p x)))
  (let ((__function__ 'module-vars))
    (declare (ignorable __function__))
    (b* (((module x)))
      (append (assigns-vars x.assigns)
              (constraintlist-vars x.constraints)
              (assigns-vars x.fixups)
              (lhspairs-vars x.aliaspairs)))))

Theorem: svarlist-p-of-module-vars

(defthm svarlist-p-of-module-vars
  (b* ((vars (module-vars x)))
    (svarlist-p vars))
  :rule-classes :rewrite)

Theorem: vars-of-module->assigns

(defthm vars-of-module->assigns
  (implies (not (member v (module-vars x)))
           (not (member v (assigns-vars (module->assigns x))))))

Theorem: vars-of-module->constraints

(defthm vars-of-module->constraints
 (implies
      (not (member v (module-vars x)))
      (not (member v
                   (constraintlist-vars (module->constraints x))))))

Theorem: vars-of-module->fixups

(defthm vars-of-module->fixups
  (implies (not (member v (module-vars x)))
           (not (member v (assigns-vars (module->fixups x))))))

Theorem: vars-of-module->aliaspairs

(defthm vars-of-module->aliaspairs
  (implies (not (member v (module-vars x)))
           (not (member v
                        (lhspairs-vars (module->aliaspairs x))))))

Theorem: vars-of-module

(defthm vars-of-module
 (implies
  (and (not (member v (lhspairs-vars aliases)))
       (not (member v (assigns-vars assigns)))
       (not (member v (constraintlist-vars constraints)))
       (not (member v (assigns-vars fixups))))
  (not
   (member
       v
       (module-vars (module wires insts
                            assigns fixups constraints aliases))))))

Theorem: module-vars-of-module-fix-x

(defthm module-vars-of-module-fix-x
  (equal (module-vars (module-fix x))
         (module-vars x)))

Theorem: module-vars-module-equiv-congruence-on-x

(defthm module-vars-module-equiv-congruence-on-x
  (implies (module-equiv x x-equiv)
           (equal (module-vars x)
                  (module-vars x-equiv)))
  :rule-classes :congruence)