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Proof step 2 from proof purge-rec-lem (conclusion)

⊦ 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)))

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ 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)))

Rule argument

[x0lemmaarg: spec-name: Purge instance-name: lemma-name: purge-rec antecedent: succedent: substlist: [sys, co, cl, d] → [sys, co, cl, d] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ co + cl = co ' + cl])], [EXTRATERMS : (sys, co, cl, d)]]