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

⊦ sources(sys, co ' + cl, d) = (((∃ d0. d0 ∈ sources(exec(sys, co) .1, cl, d) ∧ cdom(sys, co) ⇒ d0) ⊃ sources(exec(sys, co) .1, cl, d) ++ cdom(sys, co) ; sources(exec(sys, co) .1, cl, d) ) )

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ sources(sys, co + cl, d) = (((∃ d0. d0 ∈ sources(exec(sys, co) .1, cl, d) ∧ cdom(sys, co) ⇒ d0) ⊃ sources(exec(sys, co) .1, cl, d) ++ cdom(sys, co) ; sources(exec(sys, co) .1, cl, d) ) )

Rule argument

[x0lemmaarg: spec-name: Purge instance-name: lemma-name: sources-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)]]