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Proof step 34 from proof unique-prefix (previous step)

depths(t2, i + 1) + x = depths(t3, i + 1) + y, ∀ i, x, t1, y. depths(t2, i) + x = depths(t1, i) + y → x = y ∧ t2 = t1, ∀ i, x, t1, y. depths(t0, i) + x = depths(t1, i) + y → x = y ∧ t0 = t1 ⊦ x = y ∧ t2 = t3

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: (i + 1, x, t3, y) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i + 1, x, t3, y)]]