Theorems · Theorem · real analysis
Complex.sin_antiperiodic
Function.Antiperiodic Complex.sin ↑Real.pi
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- mul_negproof · cited by 590
- Complex.cosproof · cited by 279
- Complex.sinstatement and proof · cited by 258
- Function.Antiperiodicstatement · cited by 66
- Complex.sin_addproof · cited by 12
- Complex.cos_piproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- Complex.tan_periodicproof · cited by 11
- Complex.sin_periodicproof · cited by 9
- Complex.sin_pi_subproof · cited by 0
- Complex.sin_add_piproof · cited by 0
- Complex.sin_nat_mul_piproof · cited by 0
- Complex.sin_sub_piproof · cited by 0
- Complex.sin_int_mul_piproof · cited by 0