Theorems · Theorem · real analysis
Real.continuous_sin
Continuous Real.sin
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Continuousstatement · cited by 2,592
- Real.sinstatement · cited by 389
- Continuous.compproof · cited by 371
- Complex.continuous_ofRealproof · cited by 107
- Complex.continuous_reproof · cited by 60
- Complex.continuous_sinproof · cited by 5
Cited by16
Results whose statement or proof uses this declaration.
- Real.sin_nonneg_of_mem_Iccproof · cited by 6
- Real.continuousOn_sinproof · cited by 6
- integral_sin_pow_succ_leproof · cited by 3
- Real.surjOn_sinproof · cited by 2
- Real.measurable_sinproof · cited by 2
- EulerSine.integral_cos_pow_eqproof · cited by 2
- Real.continuous_sincproof · cited by 1
- Real.tendsto_sin_neg_pi_div_twoproof · cited by 1
- Real.tendsto_sin_pi_div_twoproof · cited by 1
- continuous_polarCoord_symmproof · cited by 1
- integral_cos_pow_auxproof · cited by 1
- integral_sin_pow_auxproof · cited by 1