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Proof step 3 from proof unique-prefix-nil (conclusion)

⊦ depths(t0, i) = depths(t1, i) + y ↔ y = [] ∧ t0 = t1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
depths(t0, i) = depths(t1, i) + y ⊦ y = [] ∧ t0 = t1

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (x + y) + z = x + y + z], [CSIMPSEQ : ⊦ x + [] = x])]]