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Proof step 13 from proof ks-TOPRED (previous step)

ap(ks(n)) ∧ ap(ks(n) .1) ∧ ks(n) .1 .1 = K ∧ value(ks(n) .1 .2) ∧ value(ks(n) .2), ¬ (some(ks(n) .1 .2) ≠ none → n = 2 ∧ some(ks(n) .1 .2) = some(K)) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
ks(n) .1 .1 = K, ap(ks(n)), ap(ks(n) .1), value(ks(n) .1 .2), value(ks(n) .2) ⊦ n = 2 ∧ ks(2) .1 .2 = K

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ some(t) = some(t0) ↔ t = t0], [CSIMPSEQ : ⊦ some(t) ≠ none])]]