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Proof step 6 from proof depths-size-one (previous step)

# depths(t0, i + 1) + # depths(t1, i + 1) = 1 ⊦ t0 = Leaf, t1 = Leaf, ∃ i. # depths(t0, i) = 1, ∃ i. # depths(t1, i) = 1

User applied rule exists right

And obtained the following new goals

Proof step 5:
⊦ depths(t, i) ≠ []

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (i + 1)abort:F, discard:F, computed:F]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ m ≠ 1 → (m + n = 1 ↔ m = 0 ∧ n = 1)], [CSIMPSEQ : ⊦ # x = 0 ↔ x = []], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m])], [EXTRATERMS : (i + 1)]]