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Proof step 20 from proof unique-prefix (previous step)

i ' + x = depths(t1, i) + y, i ∈ depths(t1, i) ⊦ x = y ∧ Leaf = t1

User applied rule constructor cut

And obtained the following new goals

Proof step 3:
⊦ depths(Leaf, i) = i '
Proof step 19:
t1 = Node(t, t0), i ' + x = depths(t1, i) + y, i ∈ depths(t1, i) ⊦ x = y ∧ Leaf = t1

Rule argument

[var-arg: t1]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : tree generated by leaf, node;], [CSIMPSEQ : ⊦ x + y = x + z ↔ y = z], [CSIMPSEQ : ⊦ (x + y) + z = x + y + z], [CSIMPSEQ : ⊦ d ∈ d0 ' ↔ d = d0])]]