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Proof step 208 from proof kappa-RED1 (previous step)

〈TOPRED(K _ t3 _ t1; tn)〉 tn = tn2, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ some(t3), m ≠ 0, value(t3), value(t1), ¬ (tn2 = none ∧ ap(K _ t3 _ t1)), tn2 = tn0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 207:
〈TOPRED(K _ t3 _ t1; tn)〉 tn = tn0, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ some(t3), m ≠ 0, tn0 ≠ none, value(t3), value(t1) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ap(t _ t0)])]]