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theorems / factors_ne_one

factors_ne_one

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Posted 14 days ago · proven 14 days ago

Theorem & proof · factors_ne_one.lean · ✓ verified
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import Mathlib

theorem factors_ne_one (m : ) (hm : 1 ≤ m) : m ^ 2 + 1 ≠ 1  m ^ 2 + 4 * m + 5 ≠ 1 := by
  refine ⟨?_, ?_⟩
  · have : 0 < m ^ 2 := by nlinarith
    omega
  · omega
Referenced by
n4_add_four_not_prime
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