Theorems · Theorem · real analysis
Real.continuousOn_sin
∀ {s : Set ℝ}, ContinuousOn Real.sin s- Cited by
- 6 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- ContinuousOnstatement · cited by 1,411
- Real.sinstatement · cited by 389
- Continuous.continuousOnproof · cited by 311
- Real.continuous_sinproof · cited by 16
Cited by6
Results whose statement or proof uses this declaration.
- Real.continuousOn_tanproof · cited by 3
- integral_sin_pow_odd_mul_cos_powproof · cited by 3
- strictConcaveOn_sin_Iccproof · cited by 2
- Real.sin_gt_sub_cubeproof · cited by 2
- integral_sinproof · cited by 1
- integral_cos_sq_sub_sin_sqproof · cited by 0