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Proof step 315 from proof kappa-RED1 (previous step)

〈RED1(t; tn): n 〉 tn = tn1, 〈RED1(t; tn)〉 tn = tn0, tn0 ≠ tn1 ⊦

User applied rule induction

And obtained the following new goals

Proof step 314:
〈RED1(t; tn)〉 tn = tn0, 〈RED1(t; tn): n 〉 tn = tn1, ∀ n0, t, tn1, tn0. n0 < n → (〈RED1(t; tn): n0 〉 tn = tn1 ∧ 〈RED1(t; tn)〉 tn = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ tn1 ⊦

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, n, [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (n)]]