Theorems · Definition · general topology
AddCircle
{𝕜 : Type u_1} → [AddCommGroup 𝕜] → 𝕜 → Type u_1The "additive circle": 𝕜 ⧸ ℤ ∙ p. See also Circle and Real.Angle.
- Cited by
- 189 results in Mathlib
- Foundations
- Depth 68 from the axioms, rests on 869 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- HasQuotient.Quotientproof · cited by 2,301
- AddSubgroup.zmultiplesproof · cited by 493
Cited by216
Results whose statement or proof uses this declaration.
- Real.Angleproof · cited by 518
- UnitAddCircleproof · cited by 157
- fourierstatement and proof · cited by 62
- AddCircle.toCirclestatement · cited by 41
- AddCircle.haarAddCirclestatement · cited by 28
- CharacterModuleproof · cited by 26
- fourierCoeffstatement and proof · cited by 26
- AddCircle.liftIocstatement · cited by 14
- AddCircle.equivIocstatement · cited by 12
- AddCircle.equivIcostatement · cited by 11
- AddCircle.liftIcostatement · cited by 10
- fourierLpstatement · cited by 9
Showing the 200 most cited of 216.