Theorems · Theorem · commutative algebra
ZMod.prodEquivPi_apply
∀ {ι : Type u_3} [inst : Fintype ι] (a : ι → ℕ) (coprime : Pairwise (Function.onFun Nat.Coprime a))
(b : ZMod (∏ i, a i)) (i : ι), (ZMod.prodEquivPi a coprime) b i = (ZMod.castHom ⋯ (ZMod (a i))) b- Defined in
- Mathlib.Data.ZMod.QuotientRing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fintype
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement and proof · cited by 2,356
- RingEquivstatement · cited by 1,147
- ZModstatement and proof · cited by 1,024
- RingHom.compproof · cited by 899
- Function.onFunstatement and proof · cited by 570
- Pairwisestatement and proof · cited by 516
- Finset.mem_univstatement and proof · cited by 361
- RingEquiv.toRingHomproof · cited by 150
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