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Proof step 20 from proof irred-top-01 (previous step)

value(v1), value(v2), value(v3), context(C0) ⊦ ∃ C. (∃ v, v0. C0[S _ v1 _ v2 _ v3] = C[K _ v _ v0] ∧ C0[v1 _ v3 _ (v2 _ v3)] = C[v] ∧ value(v) ∧ value(v0) ∧ context(C)) ∨ (∃ v, v0, v4. C0[S _ v1 _ v2 _ v3] = C[S _ v _ v0 _ v4] ∧ C0[v1 _ v3 _ (v2 _ v3)] = C[v _ v4 _ (v0 _ v4)] ∧ value(v) ∧ value(v0) ∧ value(v4) ∧ context(C))

User applied rule exists right

And obtained the following new goals

Proof step 19:
value(v1), value(v2), value(v3), context(C0) ⊦ (∃ v, v0. C0[S _ v1 _ v2 _ v3] = C0[K _ v _ v0] ∧ C0[v1 _ v3 _ (v2 _ v3)] = C0[v] ∧ value(v) ∧ value(v0) ∧ context(C0)) ∨ (∃ v, v0, v4. C0[S _ v1 _ v2 _ v3] = C0[S _ v _ v0 _ v4] ∧ C0[v1 _ v3 _ (v2 _ v3)] = C0[v _ v4 _ (v0 _ v4)] ∧ value(v) ∧ value(v0) ∧ value(v4) ∧ context(C0))

Rule argument

[EXRARG : pos: right 1, [extquanttermlist: (C0)abort:F, discard:T, computed:T]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (C0)]]