AlexKontorovich/PrimeNumberTheoremAnd
Source indexedtheorem · leanprover/lean4:v4.32.0
FKS2.corollary_23_row8
PrimeNumberTheoremAnd.IEANTN.FKS2Cor23Row8 · PrimeNumberTheoremAnd/IEANTN/FKS2Cor23Row8.lean:176 to 190
Source documentation
Corollary 23, row 8 (A=121.107, B=3/2, C=2, x₀=1).
Exact Lean statement
theorem corollary_23_row8 : Eπ.classicalBound 121.107 1.5 2 5.5666305 (exp 1)
Complete declaration
Lean source
Full Lean sourceLean 4
theorem corollary_23_row8 : Eπ.classicalBound 121.107 1.5 2 5.5666305 (exp 1) := by intro x hx by_cases h10 : x ≤ exp 10 · exact floor_row8 x ⟨hx, h10⟩ · rw [not_le] at h10 by_cases h5500 : x ≤ exp 5500 · exact mid_row8_lo x ⟨le_of_lt h10, h5500⟩ · rw [not_le] at h5500 by_cases h9500 : x ≤ exp 9500 · exact band_row8 x ⟨le_of_lt h5500, h9500⟩ · rw [not_le] at h9500 by_cases h20k : x ≤ exp 20000 · exact mid_row8_hi x ⟨le_of_lt h9500, h20k⟩ · rw [not_le] at h20k exact tail_row8 x (le_of_lt h20k)