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Proof step 29 from proof TOPRED-lem (previous step)

t = K _ v _ v0 ∧ t0 = v ∧ value(v) ∧ value(v0) ∨ t = S _ v1 _ v2 _ v3 ∧ t0 = v1 _ v3 _ (v2 _ v3) ∧ value(v1) ∧ value(v2) ∧ value(v3) ⊦ ap(t) ∧ ap(t .1) ∧ ap(t .1 .1) ∧ t .1 .1 .1 = S, ap(t) ∧ ap(t .1) ∧ t .1 .1 = K ∧ value(t .1 .2) ∧ value(t .2)

User applied rule case distinction

And closed the goal!

Rule argument

[CASEDARG : pos: left 1, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ap(t _ t0)], [CSIMPSEQ : ⊦ (t _ t0) .1 = t], [CSIMPSEQ : ⊦ ¬ ap(K)], [CSIMPSEQ : ⊦ (t _ t0) .2 = t0])]]