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chore(data/real/pi): split into three files (#9295)
This is the last file to finish compilation in mathlib, and it naturally splits into three chunks, two of which have simpler dependencies. Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
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src/analysis/special_functions/trigonometric.lean

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@@ -940,7 +940,7 @@ intermediate_value_Icc' (by norm_num) continuous_on_cos
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⟨le_of_lt cos_two_neg, le_of_lt cos_one_pos⟩
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/-- The number π = 3.14159265... Defined here using choice as twice a zero of cos in [1,2], from
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which one can derive all its properties. For explicit bounds on π, see `data.real.pi`. -/
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which one can derive all its properties. For explicit bounds on π, see `data.real.pi.bounds`. -/
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protected noncomputable def pi : ℝ := 2 * classical.some exists_cos_eq_zero
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localized "notation `π` := real.pi" in real

src/data/real/pi.lean

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