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Proof step 5 from proof fun-reduces-imp-app-reduces (previous step)

value(v1), value(v2), value(v3), context(C) ⊦ ∃ v, v0. C[S _ v1 _ v2 _ v3] _ t1 = C[K _ v _ v0] _ t1 ∧ C[v1 _ v3 _ (v2 _ v3)] _ t1 = C[v] _ t1 ∧ value(v) ∧ value(v0), ∃ v, v0, v4. C[S _ v1 _ v2 _ v3] _ t1 = C[S _ v _ v0 _ v4] _ t1 ∧ C[v1 _ v3 _ (v2 _ v3)] _ t1 = C[v _ v4 _ (v0 _ v4)] _ t1 ∧ value(v) ∧ value(v0) ∧ value(v4)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

[EXRARG : pos: right 2, [QUANTTERMLIST : (v1, v2, v3)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (v1, v2, v3)]]