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Proof step 1 from proof append-size-less (conclusion)

⊦ # x < # x1 → (x + x0 = x1 + x2 ↔ (∃ y. x1 = x + y ∧ x0 = y + x2))

System applied rule normalize

And obtained the following new goals

Proof step 2:
# x < # x1 ⊦ x + x0 = x1 + x2 ↔ (∃ y. x1 = x + y ∧ x0 = y + x2)

Rule argument

Additional information