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Proof step 5 from proof topred-unique (previous step)

value(v8), value(v7), value(v6), S _ v6 _ v7 _ v8 = K _ v _ v0 ∧ t2 = v ∧ value(v) ∧ value(v0) ∨ S _ v6 _ v7 _ v8 = S _ v1 _ v2 _ v3 ∧ t2 = v1 _ v3 _ (v2 _ v3) ∧ value(v1) ∧ value(v2) ∧ value(v3) ⊦ v6 _ v8 _ (v7 _ v8) = t2, S _ v6 _ v7 _ v8 = K _ v4 _ v5

User applied rule case distinction

And closed the goal!

Rule argument

[CASEDARG : pos: left 4, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ t _ t0 = t1 _ t2 ↔ t = t1 ∧ t0 = t2], [CSIMPSEQ : ⊦ t _ t0 ≠ K])]]