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Proof step 23 from proof irred-top (previous step)

value(v5), value(v1), value(v2), value(v3), context(C0), ∀ t'. ¬ v5 => t' ⊦ C0[S _ v1 _ v2 _ v3] => C0[v1 _ v3 _ (v2 _ v3)], ∃ v, v0, v4. v5 _ C0[S _ v1 _ v2 _ v3] = S _ v _ v0 _ v4 ∧ v5 _ C0[v1 _ v3 _ (v2 _ v3)] = v _ v4 _ (v0 _ v4) ∧ value(v) ∧ value(v0) ∧ value(v4), ∃ v. v5 _ C0[S _ v1 _ v2 _ v3] = K _ (v5 _ C0[v1 _ v3 _ (v2 _ v3)]) _ v ∧ value(v5 _ C0[v1 _ v3 _ (v2 _ v3)]) ∧ value(v)

User applied rule weakening

And obtained the following new goals

Proof step 22:
value(v5), value(v1), value(v2), value(v3), context(C0), ∀ t'. ¬ v5 => t' ⊦ C0[S _ v1 _ v2 _ v3] => C0[v1 _ v3 _ (v2 _ v3)]

Rule argument

[fmaposlist-arg: (pos: right 2, pos: right 3)]

Additional information

[[CONCRETESIMPRULES : ()]]