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Proof step 136 from proof kappa-RED1 (previous step)

〈RED1(t; tn2)〉 tn2 = tn0, 〈RED1(t1; tn4): m 〉 tn4 = none, 〈RED1(t0; tn3): m 〉 tn3 = none, 〈TOPRED(t; 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 ≠ none, ap(t), value(t0), t = t0 _ t1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 135:
〈RED1(t0 _ t1; tn2)〉 tn2 = tn0, 〈RED1(t1; tn4): m 〉 tn4 = none, 〈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 ≠ none, value(t0) ⊦

Rule argument

[emptyarg]

Additional information

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