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Proof step 78 from proof ks-RED (previous step)

∀ n0. n0 < n → (true → 〈RED(ks(n0); t)〉 ((even(n0) → t = K) ∧ (odd(n0) → t = K _ K))), n = 0 ∨ n = 1, ¬ (ap(ks(n)) ∧ ap(ks(n) .1) ∧ ks(n) .1 .1 = K ∧ value(ks(n) .1 .2) ∧ value(ks(n) .2)), ¬ (ap(ks(n)) ∧ ap(ks(n) .1) ∧ ap(ks(n) .1 .1) ∧ ks(n) .1 .1 .1 = S), tn0 = none, ¬ (tn0 = none ∧ ap(ks(n))), ¬ (even(n) → ks(n) = K) ∨ ¬ (odd(n) → ks(n) = K _ K) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 77:
∀ n0. n0 < n → (true → 〈RED(ks(n0); t)〉 ((even(n0) → t = K) ∧ (odd(n0) → t = K _ K))), ¬ ap(ks(n)), n = 0 ∨ n = 1, ¬ (even(n) → n = 0) ∨ ¬ (odd(n) → ks(n) = K _ K) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ks(n) = K ↔ n = 0])]]