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Proof step 6 from proof LanguageBasedNIF-follows (conclusion)

obs(sys, d) = obs(sys0, d) ⊦ ∀ nam. usedName(nam) ∧ cdom(nam) ⇒ d → contents(sys, nam) = contents(sys0, nam)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
obs(sys, d) = obs(sys0, d), cdom(nam) ⇒ d, usedName(nam) ⊦ contents(sys, nam) = contents(sys0, nam)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]