Theorems · Theorem · real analysis
Real.two_pi_pos
0 < 2 * Real.pi
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Nat.cast_zeroproof · cited by 1,870
- Real.pistatement and proof · cited by 1,774
- lt_of_not_geproof · cited by 374
- Real.pi_posproof · cited by 173
Cited by51
Results whose statement or proof uses this declaration.
- Real.Angle.toReal_coe_eq_self_iffproof · cited by 11
- Real.Angle.toReal_le_piproof · cited by 6
- Complex.arg_mem_Iocproof · cited by 6
- Real.Angle.neg_pi_lt_toRealproof · cited by 4
- Real.Angle.toReal_injectiveproof · cited by 4
- Complex.arg_mul_cos_add_sin_mul_I_eq_toIocModstatement and proof · cited by 3
- Real.circleAverage_monoproof · cited by 3
- ValueDistribution.Cartan.integrableOn_cartanKernelproof · cited by 3
- Complex.exp_eq_one_iffproof · cited by 3
- Complex.arg_expstatement and proof · cited by 3
- Real.circleAverage_mono_on_of_le_circleproof · cited by 2
- Complex.norm_sub_mem_Icc_angleproof · cited by 2