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Vl-modulelist-immdeps*

Signature

(vl-modulelist-immdeps* x graph &key (ss 'ss)) → new-graph

Arguments

x — Guard (vl-modulelist-p x).

graph — Guard (vl-immdepgraph-p graph).

ss — Guard (vl-scopestack-p ss).

Returns

new-graph — Type (vl-immdepgraph-p new-graph).

Definitions and Theorems

Function: vl-modulelist-immdeps*-fn

(defun vl-modulelist-immdeps*-fn (x graph ss)
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (vl-immdepgraph-p graph)
                              (vl-scopestack-p ss))))
  (let ((__function__ 'vl-modulelist-immdeps*))
    (declare (ignorable __function__))
    (b* (((when (atom x))
          (vl-immdepgraph-fix graph))
         (graph (vl-module-immdeps* (car x) graph)))
      (vl-modulelist-immdeps* (cdr x)
                              graph))))

Theorem: vl-immdepgraph-p-of-vl-modulelist-immdeps*

(defthm vl-immdepgraph-p-of-vl-modulelist-immdeps*
  (b* ((new-graph (vl-modulelist-immdeps*-fn x graph ss)))
    (vl-immdepgraph-p new-graph))
  :rule-classes :rewrite)

Theorem: vl-modulelist-immdeps*-fn-of-vl-modulelist-fix-x

(defthm vl-modulelist-immdeps*-fn-of-vl-modulelist-fix-x
  (equal (vl-modulelist-immdeps*-fn (vl-modulelist-fix x)
                                    graph ss)
         (vl-modulelist-immdeps*-fn x graph ss)))

Theorem: vl-modulelist-immdeps*-fn-vl-modulelist-equiv-congruence-on-x

(defthm
      vl-modulelist-immdeps*-fn-vl-modulelist-equiv-congruence-on-x
  (implies (vl-modulelist-equiv x x-equiv)
           (equal (vl-modulelist-immdeps*-fn x graph ss)
                  (vl-modulelist-immdeps*-fn x-equiv graph ss)))
  :rule-classes :congruence)

Theorem: vl-modulelist-immdeps*-fn-of-vl-immdepgraph-fix-graph

(defthm vl-modulelist-immdeps*-fn-of-vl-immdepgraph-fix-graph
  (equal (vl-modulelist-immdeps*-fn x (vl-immdepgraph-fix graph)
                                    ss)
         (vl-modulelist-immdeps*-fn x graph ss)))

Theorem: vl-modulelist-immdeps*-fn-vl-immdepgraph-equiv-congruence-on-graph

(defthm
 vl-modulelist-immdeps*-fn-vl-immdepgraph-equiv-congruence-on-graph
 (implies (vl-immdepgraph-equiv graph graph-equiv)
          (equal (vl-modulelist-immdeps*-fn x graph ss)
                 (vl-modulelist-immdeps*-fn x graph-equiv ss)))
 :rule-classes :congruence)

Theorem: vl-modulelist-immdeps*-fn-of-vl-scopestack-fix-ss

(defthm vl-modulelist-immdeps*-fn-of-vl-scopestack-fix-ss
  (equal (vl-modulelist-immdeps*-fn x graph (vl-scopestack-fix ss))
         (vl-modulelist-immdeps*-fn x graph ss)))

Theorem: vl-modulelist-immdeps*-fn-vl-scopestack-equiv-congruence-on-ss

(defthm
     vl-modulelist-immdeps*-fn-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-modulelist-immdeps*-fn x graph ss)
                  (vl-modulelist-immdeps*-fn x graph ss-equiv)))
  :rule-classes :congruence)