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Proof step 10 from proof depths-min (previous step)

depths(t0, i + 1) ≠ [] ∧ depths(t1, i + 1) ≠ [], min(min(depths(t0, i + 1)), min(depths(t1, i + 1))) < i, ∀ i. ¬ min(depths(t0, i)) < i, ∀ i. ¬ min(depths(t1, i)) < i ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ depths(t, i) ≠ []
Proof step 9:
min(min(depths(t0, i + 1)), min(depths(t1, i + 1))) < i, ∀ i. ¬ min(depths(t0, i)) < i, ∀ i. ¬ min(depths(t1, i)) < i ⊦

Rule argument

[emptyarg]

Additional information

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