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Proof step 638 from proof SII-loops (previous step)

〈RED(tn .t; t3): m0 + 1 〉 t3 = t, ∀ kappa0, t. kappa0 < (m0 + 1) + 1 → (〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ (S _ K _ K) _ (S _ K _ K)); t3): kappa0 〉 t3 = t → false), m0 ≠ 0, v = S _ (S _ K _ K) _ (S _ K _ K), v0 = S _ K _ K, v4 = S _ K _ K, tn = some(v4 _ v _ (v0 _ v)) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 637:
〈RED(S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K)) _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K))); t3): m0 + 1 〉 t3 = t, ∀ kappa0, t. kappa0 < (m0 + 1) + 1 → (〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ (S _ K _ K) _ (S _ K _ K)); t3): kappa0 〉 t3 = t → false), m0 ≠ 0 ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ some(t) .t = t])]]