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• Immdeps-top

Vl-taskdecl-immdeps*

Signature

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

Arguments

x — Guard (vl-taskdecl-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-taskdecl-immdeps*$inline

(defun vl-taskdecl-immdeps*$inline (x graph ss)
  (declare (xargs :guard (and (vl-taskdecl-p x)
                              (vl-immdepgraph-p graph)
                              (vl-scopestack-p ss))))
  (let ((__function__ 'vl-taskdecl-immdeps*))
    (declare (ignorable __function__))
    (b* ((ans (make-vl-immdeps))
         (ans (vl-taskdecl-immdeps x ans)))
      (vl-immdepgraph-merge (hons-copy (vl-taskdecl->name x))
                            ans graph))))

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

(defthm vl-immdepgraph-p-of-vl-taskdecl-immdeps*
  (b* ((new-graph (vl-taskdecl-immdeps*$inline x graph ss)))
    (vl-immdepgraph-p new-graph))
  :rule-classes :rewrite)

Theorem: vl-taskdecl-immdeps*$inline-of-vl-taskdecl-fix-x

(defthm vl-taskdecl-immdeps*$inline-of-vl-taskdecl-fix-x
  (equal (vl-taskdecl-immdeps*$inline (vl-taskdecl-fix x)
                                      graph ss)
         (vl-taskdecl-immdeps*$inline x graph ss)))

Theorem: vl-taskdecl-immdeps*$inline-vl-taskdecl-equiv-congruence-on-x

(defthm
      vl-taskdecl-immdeps*$inline-vl-taskdecl-equiv-congruence-on-x
  (implies (vl-taskdecl-equiv x x-equiv)
           (equal (vl-taskdecl-immdeps*$inline x graph ss)
                  (vl-taskdecl-immdeps*$inline x-equiv graph ss)))
  :rule-classes :congruence)

Theorem: vl-taskdecl-immdeps*$inline-of-vl-immdepgraph-fix-graph

(defthm vl-taskdecl-immdeps*$inline-of-vl-immdepgraph-fix-graph
  (equal (vl-taskdecl-immdeps*$inline x (vl-immdepgraph-fix graph)
                                      ss)
         (vl-taskdecl-immdeps*$inline x graph ss)))

Theorem: vl-taskdecl-immdeps*$inline-vl-immdepgraph-equiv-congruence-on-graph

(defthm
 vl-taskdecl-immdeps*$inline-vl-immdepgraph-equiv-congruence-on-graph
 (implies (vl-immdepgraph-equiv graph graph-equiv)
          (equal (vl-taskdecl-immdeps*$inline x graph ss)
                 (vl-taskdecl-immdeps*$inline x graph-equiv ss)))
 :rule-classes :congruence)

Theorem: vl-taskdecl-immdeps*$inline-of-vl-scopestack-fix-ss

(defthm vl-taskdecl-immdeps*$inline-of-vl-scopestack-fix-ss
 (equal (vl-taskdecl-immdeps*$inline x graph (vl-scopestack-fix ss))
        (vl-taskdecl-immdeps*$inline x graph ss)))

Theorem: vl-taskdecl-immdeps*$inline-vl-scopestack-equiv-congruence-on-ss

(defthm
   vl-taskdecl-immdeps*$inline-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-taskdecl-immdeps*$inline x graph ss)
                  (vl-taskdecl-immdeps*$inline x graph ss-equiv)))
  :rule-classes :congruence)