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Proof step 3 from proof fun-reduces-imp-app-reduces (previous step)

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

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)]]