Theorems · Theorem · commutative algebra
Ideal.quotientInfToPiQuotient_mk
∀ {R : Type u} [inst : Ring R] {ι : Type u_1} (I : ι → Ideal R) [inst_1 : ∀ (i : ι), (I i).IsTwoSided] (x : R),
(Ideal.quotientInfToPiQuotient I) ((Ideal.Quotient.mk (⨅ i, I i)) x) = fun i => (Ideal.Quotient.mk (I i)) x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingIdeal.IsTwoSided
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- iInfstatement · cited by 1,690
- Ideal.Quotient.mkstatement · cited by 610
- Ideal.IsTwoSidedstatement and proof · cited by 179
- Ideal.quotientInfToPiQuotientstatement · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.