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Proof step 98 from proof kappa-RED1 (previous step)

〈RED1(t0 _ t1; tn2)〉 tn2 = tn0, 〈RED1(t1; tn4): m 〉 tn4 = tn5, 〈RED1(t0; tn3): m 〉 tn3 = none, 〈TOPRED(t0 _ t1; tn2): m 〉 tn2 = none, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn2): n0 〉 tn2 = tn1 ∧ 〈RED1(t; tn2)〉 tn2 = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ some(t0 _ t2), tn5 ≠ none, value(t0), tn5 = some(t2) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 97:
〈RED1(t0 _ t1; tn2)〉 tn2 = tn0, 〈RED1(t1; tn4): m 〉 tn4 = some(t2), 〈RED1(t0; tn3): m 〉 tn3 = none, 〈TOPRED(t0 _ t1; tn2): m 〉 tn2 = none, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn2): n0 〉 tn2 = tn1 ∧ 〈RED1(t; tn2)〉 tn2 = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ some(t0 _ t2), value(t0) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ some(t) ≠ none])]]