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Proof step 28 from proof sources-app (conclusion)

⊦ sources(cl0, d) = sources(cl1, d) → sources(cl + cl0, d) = sources(cl + cl1, d)

User applied rule structural induction

And obtained the following new goals

Proof step 27:
∀ cl0, d, cl1. sources(cl0, d) = sources(cl1, d) → sources(cl2 + cl0, d) = sources(cl2 + cl1, d) ⊦ sources(cl0, d) = sources(cl1, d) → sources((co + cl2) + cl0, d) = sources((co + cl2) + cl1, d)

Rule argument

[VARWITHVARSEQSARG : cl, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : commandlist generated by [], +;], [CSIMPNAMEDSEQ : list, gen-command-list, Nil, ⊦ [] + cl = cl], [CSIMPNAMEDSEQ : list, gen-command-list, a, ⊦ (cl + cl0) + cl1 = cl + cl0 + cl1])]]