Theorems · Theorem · commutative algebra
Ideal.quotientInfRingEquivPiQuotient.congr_simp
∀ {R : Type u_2} [inst : CommRing R] {ι : Type u_3} [inst_1 : Finite ι] (f : ι → Ideal R)
(hf : Pairwise (Function.onFun IsCoprime f)),
Ideal.quotientInfRingEquivPiQuotient f hf = Ideal.quotientInfRingEquivPiQuotient f hf- Defined in
- Mathlib.RingTheory.Artinian.Module
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- Finitestatement and proof · cited by 3,029
- HasQuotient.Quotientstatement · cited by 2,301
- iInfstatement · cited by 1,690
- RingEquivstatement · cited by 1,147
- Function.onFunstatement and proof · cited by 570
- Pairwisestatement and proof · cited by 516
- IsCoprimestatement and proof · cited by 321
- Ideal.quotientInfRingEquivPiQuotientstatement and proof · cited by 6
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