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Proof step 13 from proof lenle (previous step)

# ay0 + # az < # ax0, unique_al(ax0.rest), ∀ a0. a0 ∈ ax0 → a0 ∈ ay0 ∨ a0 ∈ az ⊦ ax0 = [], ax0.first.1 ∈ ax0.rest, a ∈ ax0, ∃ ay0. # ay0 < # ax0 ∧ (∀ a. a ∈ ax0 → a ∈ ay0)

User applied rule exists right

And obtained the following new goals

Proof step 14:
# ay0 + # az < # ax0, unique_al(ax0.rest), ∀ a0. a0 ∈ ax0 → a0 ∈ ay0 ∨ a0 ∈ az ⊦ ax0 = [], ax0.first.1 ∈ ax0.rest, a ∈ ax0, #(ay0 + az) < # ax0 ∧ (∀ a. a ∈ ax0 → a ∈ ay0 + az)

Rule argument

pos: right 4 terms: ay0 + az abort: F discard: T computed: F

Additional information

Used terms: ay0 + az