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Proof step 8 from proof lenle (previous step)

unique_al(ax0.tail), # ay ≤ # ax0, ∀ a0. a0 = a ∨ a0 ∈ ax0 → a0 ∈ ay ⊦ ax0 = [], a ∈ ax0, ax0.head.1 ∈ ax0.tail, ∃ ay0. # ay0 < # ax0 ∧ (∀ a. a ∈ ax0 → a ∈ ay0)

User applied rule all left

And obtained the following new goals

Proof step 9:
unique_al(ax0.tail), # ay ≤ # ax0, a = a ∨ a ∈ ax0 → a ∈ ay, ∀ a0. a0 ∈ ax0 → a0 ∈ ay ⊦ ax0 = [], ax0.head.1 ∈ ax0.tail, a ∈ ax0, ∃ ay0. # ay0 < # ax0 ∧ (∀ a. a ∈ ax0 → a ∈ ay0)

Rule argument

pos: left 3 terms: a abort: F discard: F computed: T

Additional information

Used terms: a