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Proof step 11 from proof reduce-unique (previous step)

C[t3] = C0[K _ v _ v0], value(v), value(v0), context(C0), context(C), t3 = K _ v1 _ v2 ∧ t0 = v1 ∧ value(v1) ∧ value(v2) ∨ t3 = S _ v3 _ v4 _ v5 ∧ t0 = v3 _ v5 _ (v4 _ v5) ∧ value(v3) ∧ value(v4) ∧ value(v5) ⊦ C[t0] = C0[v]

User applied rule case distinction

And obtained the following new goals

Proof step 7:
t3 = K _ v1 _ v2 ∧ t0 = v1 ∧ value(v1) ∧ value(v2), C[t3] = C0[K _ v _ v0], value(v), value(v0), context(C0), context(C) ⊦ C[t0] = C0[v]
Proof step 10:
t3 = S _ v3 _ v4 _ v5 ∧ t0 = v3 _ v5 _ (v4 _ v5) ∧ value(v3) ∧ value(v4) ∧ value(v5), C[t3] = C0[K _ v _ v0], value(v), value(v0), context(C0), context(C) ⊦ C[t0] = C0[v]

Rule argument

[CASEDARG : pos: left 6, ()]

Additional information

[[CONCRETESIMPRULES : ()]]