Theorems · Theorem · real analysis
Complex.continuous_cos
Continuous Complex.cos
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- Continuousstatement · cited by 2,592
- Complex.Iproof · cited by 866
- continuous_id'proof · cited by 295
- Complex.cosstatement · cited by 279
- Continuous.comp'proof · cited by 184
- Continuous.prodMkproof · cited by 127
- continuous_addproof · cited by 47
- Continuous.cexpproof · cited by 37
- continuous_mul_constproof · cited by 30
- Continuous.fun_negproof · cited by 21
- Continuous.div_constproof · cited by 21
Cited by7
Results whose statement or proof uses this declaration.
- Real.continuous_cosproof · cited by 14
- Complex.tendsto_euler_sin_prodproof · cited by 3
- Complex.measurable_cosproof · cited by 2
- integral_cos_mul_complexproof · cited by 1
- EulerSine.integral_cos_mul_cos_pow_auxproof · cited by 1
- EulerSine.integral_sin_mul_sin_mul_cos_pow_eqproof · cited by 1
- Complex.continuousOn_cosproof · cited by 1