Theorems · Theorem · general topology
ZMod.toAddCircle_apply
∀ {N : ℕ} [inst : NeZero N] (j : ZMod N), ZMod.toAddCircle j = ↑(↑j.val / ↑N)Explicit formula for toCircle j. Note that this is "evil" because it uses ZMod.val. Where
possible, it is recommended to lift j to ℤ and use toAddCircle_intCast instead.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 · cited by 25,697
- AddMonoidHomstatement · cited by 3,230
- ZModstatement and proof · cited by 1,024
- AddSubgroup.zmultiplesstatement · cited by 493
- QuotientAddGroup.mkstatement · cited by 348
- ZMod.valstatement and proof · cited by 159
- UnitAddCirclestatement and proof · cited by 157
- ZMod.toAddCirclestatement and proof · cited by 32
- ZMod.natCast_zmod_valproof · cited by 29
- ZMod.toAddCircle_natCastproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- ZMod.toAddCircle_injectiveproof · cited by 3
- ZMod.LFunction_eq_LSeriesproof · cited by 1