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Proof step 28 from proof unique-prefix (previous step)

i + 1 ≤ min(depths(t, i + 1)), (depths(t, i + 1) + depths(t2, i + 1)) + x = i ' + y, i ∈ depths(t, i + 1), ∀ i, x, t1, y. depths(t2, i) + x = depths(t1, i) + y → x = y ∧ t2 = t1, ∀ i, x, t1, y. depths(t, i) + x = depths(t1, i) + y → x = y ∧ t = t1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
(depths(t, i + 1) + depths(t2, i + 1)) + x = i ' + y, i ∈ depths(t, i + 1), i < min(depths(t, i + 1)), ∀ i, x, t1, y. depths(t2, i) + x = depths(t1, i) + y → x = y ∧ t2 = t1, ∀ i, x, t1, y. depths(t, i) + x = depths(t1, i) + y → x = y ∧ t = t1 ⊦

Rule argument

[emptyarg]

Additional information

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