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Proof step 13 from proof unique-prefix (previous step)

d + 1 ≤ min(depths(t, d + 1)), depths(t, d + 1) = d ' + y ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
depths(t, d + 1) = d ' + y, d < min(d ' + y) ⊦

Rule argument

[emptyarg]

Additional information

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