Theorems · Theorem · real analysis
Real.continuousOn_cos
∀ {s : Set ℝ}, ContinuousOn Real.cos s- Cited by
- 8 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.cosstatement · cited by 424
- Continuous.continuousOnproof · cited by 311
- Real.continuous_cosproof · cited by 14
Cited by8
Results whose statement or proof uses this declaration.
- Real.exists_cos_eq_zeroproof · cited by 3
- integral_sin_pow_mul_cos_pow_oddproof · cited by 3
- Real.continuousOn_tanproof · cited by 3
- EulerSine.tendsto_integral_cos_pow_mul_divproof · cited by 1
- integral_cos_sq_sub_sin_sqproof · cited by 0
- integral_cosproof · cited by 0
- integral_sqrt_one_sub_sqproof · cited by 0
- strictConcaveOn_cos_Iccproof · cited by 0