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Proof step 13 from proof subst-KK-equal (previous step)

K _ v1 _ v2 = C0[K _ v _ v0], value(v1), value(v2), value(v), value(v0), context(C0) ⊦ v1 = C0[v]

User applied rule constructor cut

And obtained the following new goals

Proof step 2:
⊦ O[t] = t
Proof step 10:
C0 = C _ t, K _ v1 _ v2 = C0[K _ v _ v0], value(v1), value(v2), value(v), value(v0), context(C0) ⊦ v1 = C0[v]
Proof step 11:
⊦ (t1 _ C)[t] = t1 _ C[t]
Proof step 12:
⊦ ¬ value(C[K _ t _ t0])

Rule argument

[var-arg: C0]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : rawctxt generated by o, _, _;], [CSIMPSEQ : ⊦ t _ t0 = t1 _ t2 ↔ t = t1 ∧ t0 = t2], [CSIMPSEQ : ⊦ context(t _ C) ↔ ¬ ¬ (context(C) ∧ value(t))], [CSIMPSEQ : ⊦ value(K _ t) ↔ value(t)])]]