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Proof step 20 from proof reduce-unique (previous step)

C[S _ v4 _ v5 _ v6] = C0[S _ v1 _ v2 _ v3], value(v4), value(v5), value(v6), value(v1), value(v2), value(v3), context(C0), context(C) ⊦ C[v4 _ v6 _ (v5 _ v6)] = C0[v1 _ v3 _ (v2 _ v3)]

User applied rule insert spec-lemma

And obtained the following new goals

Rule argument

[x0lemmaarg: spec-name: subst instance-name: lemma-name: subst-SS-equal antecedent: C[S _ v4 _ v5 _ v6] = C0[S _ v1 _ v2 _ v3], value(v4), value(v5), value(v6), value(v1), value(v2), value(v3), context(C0), context(C) succedent: C[v4 _ v6 _ (v5 _ v6)] = C0[v1 _ v3 _ (v2 _ v3)] substlist: [C, v4, v5, v6, C0, v1, v2, v3] → [C, v4, v5, v6, C0, v1, v2, v3] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (C, v4, v5, v6, C0, v1, v2, v3)]]