Theorems · Theorem · Lie groups
Real.Angle.toReal_le_pi
∀ (θ : Real.Angle), θ.toReal ≤ Real.pi
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 178 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
- Real.Anglestatement and proof · cited by 518
- Real.Angle.coeproof · cited by 360
- toIocModproof · cited by 109
- Real.Angle.toRealstatement and proof · cited by 82
- Real.two_pi_posproof · cited by 51
- Real.Angle.induction_onproof · cited by 29
- toIocMod_le_rightproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Real.Angle.abs_toReal_le_piproof · cited by 3
- Real.Angle.toReal_neg_eq_neg_toReal_iffproof · cited by 2
- Real.Angle.sign_toRealproof · cited by 1
- Real.Angle.toReal_mem_Iocproof · cited by 1
- Real.Angle.two_nsmul_toReal_eq_two_mul_sub_two_piproof · cited by 1
- Real.Angle.toReal_mem_Ioo_iff_sign_posproof · cited by 0