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Proof step 10 from proof LanguageBasedNIF-run (conclusion)

eqds(sys, sources(cl, d), sys0) ⊦ ∀ nam. usedName(nam) ∧ observe(nam, d) ∧ cdom(nam) ⇒ d → contents(run(sys, cl), nam) = contents(run(sys0, cl), nam)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
eqds(sys, sources(cl, d), sys0), cdom(nam) ⇒ d, observe(nam, d), usedName(nam) ⊦ contents(run(sys, cl), nam) = contents(run(sys0, cl), nam)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]