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Proof step 17 from proof not-value (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
⊦ (t1 _ C)[t] = t1 _ C[t]
Proof step 16:
value(C[K _ t _ t0]), value(t1), ∀ t2, t3. ¬ value(C[K _ t2 _ t3]) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ value(S _ t) ↔ value(t)], [CSIMPSEQ : ⊦ (t _ t0) .2 = t0], [CSIMPSEQ : ⊦ (t _ t0) .1 = t])]]