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Proof step 18 from proof not-value-02 (previous step)

C0[S _ t _ t0 _ t1] .1 = S, value(t2), value(C0[S _ t _ t0 _ t1] .2), ∀ t, t0, t1. ¬ value(C0[S _ t _ t0 _ t1]) ⊦

User applied rule constructor cut

And obtained the following new goals

Proof step 12:
⊦ O[t] = t
Proof step 13:
⊦ (C _ t1)[t] = C[t] _ t1
Proof step 14:
⊦ C[t _ t0] ≠ S
Proof step 17:
C0 = t3 _ C, C0[S _ t _ t0 _ t1] .1 = S, value(t2), value(C0[S _ t _ t0 _ t1] .2), ∀ t, t0, t1. ¬ value(C0[S _ t _ t0 _ t1]) ⊦

Rule argument

[var-arg: C0]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : rawctxt generated by o, _, _;], [CSIMPSEQ : ⊦ (t _ t0) .1 = t], [CSIMPSEQ : ⊦ t _ t0 ≠ S])]]