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Proof step 182 from proof sources-ipurge (conclusion)

⊦ d0 ∈ sources(ipurge(cl, d), d) ↔ d0 ∈ sources(cl, d)

User applied rule structural induction

And closed the goal!

Rule argument

[VARWITHVARSEQSARG : cl, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : ipurge-base, , , ⊦ ipurge([], d) = []], [CSIMPNAMEDSEQ : sources-base, , , ⊦ sources([], d) = ∅ ++ d], [CSIMPGEN : commandlist generated by [], +;], [CSIMPNAMEDSEQ : set-basic, gen-secdomain-set, in-04, ⊦ d ∈ ∅ ++ d0 ↔ d = d0])]]