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Proof step 16 from proof kappa-RED1 (previous step)

〈RED1((t0 _ t1) .1; tn4)〉 tn4 = tn5, 〈TOPRED(t0 _ t1; tn)〉 tn = tn4, 〈RED1(t0; tn3): m 〉 tn3 = some(t2), 〈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(t2 _ t1), tn4 = none, tn5 ≠ none, some(tn5 .t _ (t0 _ t1) .2) = tn0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
〈TOPRED(t0 _ t1; tn)〉 tn = none, 〈RED1(t0; tn3): m 〉 tn3 = some(t2), 〈TOPRED(t0 _ t1; tn2): m 〉 tn2 = none, 〈RED1(t0; tn4)〉 tn4 = tn5, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn2): n0 〉 tn2 = tn1 ∧ 〈RED1(t; tn2)〉 tn2 = tn0 ∧ tn0 ≠ tn1 → false), tn5 ≠ none, tn5 .t _ t1 ≠ t2 _ t1 ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (t _ t0) .1 = t], [CSIMPSEQ : ⊦ some(t) = some(t0) ↔ t = t0], [CSIMPSEQ : ⊦ (t _ t0) .2 = t0])]]