diff --git a/Analysis/Section_4_1.lean b/Analysis/Section_4_1.lean index 24a11772..4ee438d8 100644 --- a/Analysis/Section_4_1.lean +++ b/Analysis/Section_4_1.lean @@ -302,7 +302,7 @@ theorem Int.neg_one_mul (a:Int) : -1 * a = -a := by sorry /-- Exercise 4.1.8 -/ theorem Int.no_induction : ∃ P: Int → Prop, (P 0 ∧ ∀ n, P n → P (n+1)) ∧ ¬ ∀ n, P n := by sorry -/-- A nonnegative number squared is nonnegative. This is a special case of 4.1.9 that's useful for proving the general case. --/ +/-- A nonnegative number squared is nonnegative. This is a special case of 4.1.9 that's useful for proving the general case. -/ lemma Int.sq_nonneg_of_pos (n:Int) (h: 0 ≤ n) : 0 ≤ n*n := by sorry /-- Exercise 4.1.9. The square of any integer is nonnegative. -/