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Proof step 10 from proof irred-top (previous step)

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

User applied rule weakening

And obtained the following new goals

Proof step 9:
value(v4), value(v), value(v0), context(C0), ∀ t'. ¬ v4 => t' ⊦ C0[K _ v _ v0] => C0[v]

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()]]