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Proof step 20 from proof subst-SS-equal (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ O[t] = t
Proof step 19:
S _ v4 _ v5 _ v6 = C0[S _ v1 _ v2 _ v3], value(v4), value(v5), value(v6), value(v1), value(v2), value(v3), context(C0) ⊦ v4 _ v6 _ (v5 _ v6) = C0[v1 _ v3 _ (v2 _ v3)]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ context(O)])]]