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Proof step 306 from proof kappa-RED1 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 305:
〈RED1(t; tn2)〉 tn2 = tn0, 〈TOPRED(t; tn2): m 〉 tn2 = tn1, ∀ n0, t, tn1, tn0. n0 < m + 1 → (〈RED1(t; tn2): n0 〉 tn2 = tn1 ∧ 〈RED1(t; tn2)〉 tn2 = tn0 ∧ tn0 ≠ tn1 → false), tn0 ≠ tn1, ¬ (tn1 = none ∧ ap(t)) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + 1 ≠ 0])]]