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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

Canonical 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)