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Proof step 12 from proof lenequal (previous step)

# ax0 = # ay0 + # az, unique_al(ay0 + (a × d)' + az), unique_al(ax0), ∀ a0. a0 ∈ ax0 → a0 ∈ az ∨ a0 ∈ ay0 ⊦ b = a, a ∈ ax0, b ∈ ax0, a ∈ ay0, a ∈ az, ¬ b ∈ az ∧ ¬ b ∈ ay0, (a0 ∈ ax0 → a0 ∈ ay0 ∨ a0 ∈ az) ∧ (b ∈ ay0 ∨ b ∈ az)

User applied rule all left

And obtained the following new goals

Proof step 13:
# ax0 = # ay0 + # az, unique_al(ay0 + (a × d)' + az), unique_al(ax0), a0 ∈ ax0 → a0 ∈ az ∨ a0 ∈ ay0 ⊦ b = a, a ∈ ax0, b ∈ ax0, a ∈ ay0, a ∈ az, ¬ b ∈ az ∧ ¬ b ∈ ay0, (a0 ∈ ax0 → a0 ∈ ay0 ∨ a0 ∈ az) ∧ (b ∈ ay0 ∨ b ∈ az)

Rule argument

pos: left 4 terms: a0 abort: F discard: T computed: F

Additional information

Used terms: a0