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Proof step 7 from proof irred-top-01 (previous step)

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

User applied rule exists right

And obtained the following new goals

Proof step 6:
value(v), value(v0), context(C0) ⊦ (∃ v1, v2. C0[K _ v _ v0] = C0[K _ v1 _ v2] ∧ C0[v] = C0[v1] ∧ value(v1) ∧ value(v2) ∧ context(C0)) ∨ (∃ v1, v2, v3. C0[K _ v _ v0] = C0[S _ v1 _ v2 _ v3] ∧ C0[v] = C0[v1 _ v3 _ (v2 _ v3)] ∧ value(v1) ∧ value(v2) ∧ value(v3) ∧ context(C0))

Rule argument

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

Additional information

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