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Proof step 8 from proof square-ls-03 (previous step)

(m * (m + 1)) / 2 + m0 = (m * (m + 1) + 2 * m0) / 2, m0 ≤ m, m ≤ n, ((m + 1) * (m + 2)) / 2 ≤ ((n + 1) * (n + 2)) / 2 ⊦ (m * (m + 1)) / 2 + m0 < ((n + 1) * (n + 2)) / 2, n < m

User applied rule insert equation

And obtained the following new goals

Proof step 9:
((m + 1) * (m + 2)) / 2 ≤ ((n + 1) * (n + 2)) / 2, m ≤ n, m0 ≤ m ⊦ n < m, (m * (m + 1) + 2 * m0) / 2 < ((n + 1) * (n + 2)) / 2

Rule argument

pos: left 1 flags: discard

Proof step 8 from proof square-ls-03 (previous step)

User applied rule insert equation

And obtained the following new goals

Rule argument

Additional information