Theorems · Theorem · real analysis
Real.cos_periodic
Function.Periodic Real.cos (2 * Real.pi)
- Cited by
- 16 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Real.pistatement · cited by 1,774
- Real.cosstatement · cited by 424
- Function.Periodicstatement · cited by 154
- Real.cos_antiperiodicproof · cited by 16
- Function.Antiperiodic.periodic_two_mulproof · cited by 10
Cited by17
Results whose statement or proof uses this declaration.
- Real.Angle.cosproof · cited by 77
- Real.cos_int_mul_two_piproof · cited by 1
- Real.cos_int_mul_two_pi_add_piproof · cited by 1
- Real.cos_int_mul_two_pi_sub_piproof · cited by 0
- Real.cos_nat_mul_two_piproof · cited by 0
- Real.cos_nat_mul_two_pi_add_piproof · cited by 0
- Real.cos_nat_mul_two_pi_subproof · cited by 0
- Real.cos_nat_mul_two_pi_sub_piproof · cited by 0
- Real.cos_add_int_mul_two_piproof · cited by 0
- Real.cos_add_nat_mul_two_piproof · cited by 0
- Real.cos_add_two_piproof · cited by 0
- Real.Angle.continuous_cosproof · cited by 0