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Proof step 8 from proof square-ls (previous step)

m0 * m0 + m0 < m * m + m ↔ m0 < m ⊦ 3 * m0 + m0 * m0 < 3 * m + m * m ↔ m0 < m

User applied rule case distinction

And obtained the following new goals

Proof step 9:
3 * m0 + m0 * m0 < 3 * m + m * m, m0 * m0 + m0 < m * m + m ↔ m0 < m ⊦ m0 < m
Proof step 14:
m0 < m, m0 * m0 + m0 < m * m + m ↔ m0 < m ⊦ 3 * m0 + m0 * m0 < 3 * m + m * m

Rule argument

pos: right 1

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