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Proof step 169 from proof kappa-RED1 (previous step)

〈RED1(t .1; tn3): n -1 〉 tn3 = tn4, 〈TOPRED(t; tn2): n -1 〉 tn2 = tn3, 〈RED1(t; tn)〉 tn = tn0, ∀ n0, t, tn1, tn0. n0 < n → (〈RED1(t; tn): n0 〉 tn = tn1 ∧ 〈RED1(t; tn)〉 tn = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ tn1, tn2 = tn, n ≠ 0, tn3 = none ∧ ap(t), ¬ tn4 ≠ none, ¬ value(t .1), tn4 = tn1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 168:
〈RED1(t; tn2)〉 tn2 = tn0, 〈RED1(t .1; tn3): n - 1 〉 tn3 = none, 〈TOPRED(t; tn2): n - 1 〉 tn2 = none, ∀ n0, t, tn1, tn0. n0 < n → (〈RED1(t; tn2): n0 〉 tn2 = tn1 ∧ 〈RED1(t; tn2)〉 tn2 = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ none, n ≠ 0, ap(t), ¬ value(t .1) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ n -1 = n - 1])]]