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Proof step 76 from proof ks-RED (previous step)

∀ n0. n0 < n → (true → 〈RED(ks(n0); t)〉 ((even(n0) → t = K) ∧ (odd(n0) → t = K _ K))), ¬ ap(ks(n)), n = 1, ¬ (even(n) → n = 0) ∨ ¬ (odd(n) → ks(n) = K _ K) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
∀ n0. n0 < 1 → (true → 〈RED(ks(n0); t)〉 ((even(n0) → t = K) ∧ (odd(n0) → t = K _ K))), ks(1) ≠ K _ K, ¬ ap(ks(1)) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ odd(1)], [CSIMPSEQ : ⊦ ¬ even(1)])]]