Theorems · Theorem · real analysis
Real.Wallis.W_le
∀ (k : ℕ), Real.Wallis.W k ≤ Real.pi / 2
- Defined in
- Mathlib.Analysis.Real.Pi.Wallis
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 276 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.pistatement and proof · cited by 1,774
- div_eq_inv_mulproof · cited by 146
- div_le_oneproof · cited by 29
- Real.pi_div_two_posproof · cited by 22
- Real.Wallis.Wstatement and proof · cited by 9
- integral_sin_pow_posproof · cited by 3
- integral_sin_pow_succ_leproof · cited by 3
- Real.Wallis.W_eq_integral_sin_pow_div_integral_sin_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Real.Wallis.tendsto_W_nhds_pi_div_twoproof · cited by 2