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Proof step 281 from proof kappa-RED1 (previous step)

〈RED1(t; tn3)〉 tn3 = tn0, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), t0 .1 .1 = S, tn0 ≠ some(t0 .1 .2 _ t1 _ (t0 .2 _ t1)), m ≠ 0, t0 .1 ≠ K, ap(t), ap(t0), ap(t0 .1), value(t0 .1 .2), value(t0 .2), value(t1), t = t0 _ t1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 280:
〈RED1(t0 _ t1; tn3)〉 tn3 = tn0, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn3): n0 〉 tn3 = tn1 ∧ 〈RED1(t; tn3)〉 tn3 = tn0 ∧ tn0 ≠ tn1 → false), t0 .1 .1 = S, tn0 ≠ some(t0 .1 .2 _ t1 _ (t0 .2 _ t1)), m ≠ 0, t0 .1 ≠ K, ap(t0), ap(t0 .1), value(t0 .1 .2), value(t0 .2), value(t1) ⊦

Rule argument

[emptyarg]

Additional information

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