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Proof step 11 from proof LanguageBasedNIF-run (conclusion)

∀ nam. cdom(nam) ⇒ d → contents(sys, nam) = contents(sys0, nam) ⊦ ∀ nam. 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 10:
cdom(nam) ⇒ d, ∀ nam. cdom(nam) ⇒ d → contents(sys, nam) = contents(sys0, nam) ⊦ contents(run(sys, cl), nam) = contents(run(sys0, cl), nam)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]