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Fill two local arithmetic steps in Chapter 03 #138

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Fill two local arithmetic steps in Chapter 03 #138

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4 changes: 2 additions & 2 deletions FormalBook/Chapter_03.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -150,7 +150,7 @@ theorem binomials_coefficients_never_powers (k l m n : ℕ) (h_2lel : 2 ≤ l) (
-- STEP (4) : l ≥ 3 by Contradiction
-- case l ≥ 3
· have h_3lel : 3 ≤ l := by
sorry
omega
-- main work : n < k³
have h₄ : n < k^3 := by
sorry
Expand All @@ -170,7 +170,7 @@ theorem binomials_coefficients_never_powers (k l m n : ℕ) (h_2lel : 2 ≤ l) (
have h_k'_def : k' = n - k := by rfl
-- third requirement: 2 * k' ≤ n
have h_2k'len : 2 * k' ≤ n := by
sorry
omega
-- second requirement: k ≤ n - 4
have h_k'len4 : k' ≤ n - 4 := by
simp only [h_k'_def, tsub_le_iff_right]
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