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Proof step 60 from proof reduction-is-topred-in-ctxt (previous step)

value(v), value(v0), value(v4), context(C0), ∀ t'. C0[K _ v _ v0] => t' ↔ (∃ C, t0, t. context(C) ∧ C0[K _ v _ v0] = C[t0] ∧ t0 =>top t ∧ t' = C[t]), ∀ t'. v4 => t' ↔ (∃ C, t2, t1. context(C) ∧ v4 = C[t2] ∧ t2 =>top t1 ∧ t' = C[t1]) ⊦ ∃ v5, v6. v4 _ C0[K _ v _ v0] = v4 _ C0[K _ v5 _ v6] ∧ v4 _ C0[v] = v4 _ C0[v5] ∧ value(v5) ∧ value(v6), ∃ v5, v6, v7. v4 _ C0[K _ v _ v0] = v4 _ C0[S _ v5 _ v6 _ v7] ∧ v4 _ C0[v] = v4 _ C0[v5 _ v7 _ (v6 _ v7)] ∧ value(v5) ∧ value(v6) ∧ value(v7)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 1, [QUANTTERMLIST : (v, v0)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (v, v0)]]