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Proof step 3 from proof max-square (previous step)

¬(((m + n) * ((m + n) + 1)) / 2 ≤ ((m + n) * (m + n + 1)) / 2 + n ∧ ((m + n) * (m + n + 1)) / 2 + n < (((m + n) + 1) * ((m + n) + 2)) / 2) ⊦ maxenc(((m + n) * (m + n + 1)) / 2 + n) = m + n

User applied rule prop simplification

And obtained the following new goals

Proof step 4:
⊦ ((m + n) * ((m + n) + 1)) / 2 ≤ ((m + n) * (m + n + 1)) / 2 + n ∧ ((m + n) * (m + n + 1)) / 2 + n < (((m + n) + 1) * ((m + n) + 2)) / 2, maxenc(((m + n) * (m + n + 1)) / 2 + n) = m + n

Rule argument

pos: left 1

Proof step 3 from proof max-square (previous step)

User applied rule prop simplification

And obtained the following new goals

Rule argument

Additional information