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Proof step 7 from proof depths-max (previous step)

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

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 3, [extquanttermlist: (i +1)abort:F, discard:F, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i +1 = i + 1], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0])], [EXTRATERMS : (i +1)]]