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Proof step 3 from proof depths-nonnil (previous step)

depths(t0, i + 1) = [], depths(t1, i + 1) = [], ∀ i. depths(t0, i) ≠ [], ∀ i. depths(t1, i) ≠ [] ⊦

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 4, [QUANTTERMLIST : (i + 1)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i + 1)]]