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Proof step 9 from proof depths-min (previous step)

min(min(depths(t0, i + 1)), min(depths(t1, i + 1))) < i, ∀ i. ¬ min(depths(t0, i)) < i, ∀ i. ¬ min(depths(t1, i)) < i ⊦

User applied rule all left

And obtained the following new goals

Proof step 8:
min(min(depths(t0, i + 1)), min(depths(t1, i + 1))) < i, ¬ min(depths(t0, i + 1)) < i + 1, ∀ i. ¬ min(depths(t1, i)) < i ⊦

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: (i + 1)abort:F, discard:T, computed:F]]

Additional information

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