Theorems · Theorem · real analysis
Real.lt_sin_mul
∀ {x : ℝ}, 0 < x → x < 1 → x < Real.sin (Real.pi / 2 * x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- le_rflproof · cited by 1,558
- LT.lt.neproof · cited by 872
- Real.sinstatement and proof · cited by 389
- sub_add_cancelproof · cited by 344
- Real.pi_posproof · cited by 173
Cited by1
Results whose statement or proof uses this declaration.
- Real.mul_lt_sinproof · cited by 0