Theorems · Theorem · real analysis
Real.pi_pos
0 < Real.pi
- Cited by
- 173 results in Mathlib
- Foundations
- Depth 174 from the axioms, rests on 4,675 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.pistatement · cited by 1,774
- lt_of_lt_of_leproof · cited by 438
- Real.two_le_piproof · cited by 5
Cited by173
Results whose statement or proof uses this declaration.
- Real.rpow_mulproof · cited by 67
- Real.two_pi_posproof · cited by 51
- Real.sin_pi_div_twoproof · cited by 29
- Real.pi_ne_zeroproof · cited by 24
- Real.pi_div_two_posproof · cited by 22
- Real.pi_nonnegproof · cited by 16
- Real.Angle.toReal_zeroproof · cited by 10
- Real.Angle.toReal_piproof · cited by 9
- Real.arctan_oneproof · cited by 7
- Real.sin_pi_over_two_pow_succproof · cited by 6
- summable_pow_mul_jacobiTheta₂_term_boundproof · cited by 6
- Complex.Gamma_ne_zeroproof · cited by 6