Theorems · Theorem · general topology
AddCircle.scaled_exp_map_periodic
∀ {T : ℝ}, Function.Periodic (fun x => Circle.exp (2 * Real.pi / T * x)) T- Cited by
- 6 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- add_zeroproof · cited by 2,707
- ContinuousMapstatement · cited by 2,491
- Real.pistatement and proof · cited by 1,774
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- mul_addproof · cited by 413
- div_zeroproof · cited by 251
- Circlestatement and proof · cited by 227
- Function.Periodicstatement · cited by 154
- div_mul_cancel₀proof · cited by 122
Cited by7
Results whose statement or proof uses this declaration.
- AddCircle.toCircleproof · cited by 41
- fourier_coe_applyproof · cited by 7
- fourier_negproof · cited by 3
- ZMod.toCircle_intCastproof · cited by 2
- Polynomial.sum_sq_norm_coeff_eq_circleAverageproof · cited by 1
- Circle.isAddQuotientCoveringMap_expproof · cited by 1
- fourier_add_half_inv_indexproof · cited by 1