Theorems · Definition · number theory
ZMod.ringEquiv
{n : ℕ} → (R : Type u_1) → [inst : Ring R] → [CharP R n] → [inst_2 : Fintype R] → Fintype.card R = n → ZMod n ≃+* RThe unique ring isomorphism between ZMod n and a ring R
of characteristic n and cardinality n.
- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- Fintype.cardstatement and proof · cited by 1,386
- RingEquivstatement · cited by 1,147
- ZModstatement · cited by 1,024
- CharPstatement and proof · cited by 478
- dvd_reflproof · cited by 97
- ZMod.castHomproof · cited by 55
- RingEquiv.ofBijectiveproof · cited by 24
- ZMod.castHom_bijectiveproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- TruncatedWittVector.zmodEquivTruncproof · cited by 9
- ZMod.ringEquivOfPrimeproof · cited by 3
- ZMod.ringEquivOfPrime_eq_ringEquivstatement · cited by 0