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Theorems · Definition · commutative algebra

ZMod.prodEquivPi

{ι : Type u_3} →
  [inst : Fintype ι] →
    (a : ι → ℕ) → Pairwise (Function.onFun Nat.Coprime a) → ZMod (∏ i, a i) ≃+* ((i : ι) → ZMod (a i))

The Chinese remainder theorem, elementary version for ZMod. See also Mathlib/Data/ZMod/Basic.lean for versions involving only two numbers.

Defined in
Mathlib.Data.ZMod.QuotientRing
Cited by
1 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Fintype

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