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Proof step 1 from proof purge-rec-lem (
previous step
)
⊦ purge(sys, co + cl, d) = ((cdom(sys, co) ∈ sources(sys, co + cl, d) ⊃ co + purge(exec(sys, co) .1, cl, d); purge(sys, cl, d)))
Lemma
purge-rec