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Proof step 12 from proof depths-min (previous step)

∀ i. ¬ min(depths(t0, i)) < i, ∀ i. ¬ min(depths(t1, i)) < i, min(depths(Node(t0, t1), i)) < i ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ depths(Node(t0, t1), i) = depths(t0, i + 1) + depths(t1, i + 1)
Proof step 11:
min(depths(t0, i + 1) + depths(t1, i + 1)) < i, ∀ i. ¬ min(depths(t0, i)) < i, ∀ i. ¬ min(depths(t1, i)) < i ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]