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Proof step 13 from proof depths-min (previous step)

min(depths(t, i)) < i ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ depths(Leaf, i) = i '
Proof step 2:
⊦ min(i ') = i
Proof step 12:
∀ i. ¬ min(depths(t0, i)) < i, ∀ i. ¬ min(depths(t1, i)) < i, min(depths(Node(t0, t1), i)) < i ⊦

Rule argument

[VARWITHVARSEQSARG : t, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : tree generated by leaf, node;], [CSIMPSEQ : ⊦ ¬ i < i])]]