Theorems · Theorem · commutative algebra
Ideal.quotientInfToPiQuotient_surj
∀ {R : Type u_2} [inst : CommRing R] {ι : Type u_3} [Finite ι] {I : ι → Ideal R},
Pairwise (Function.onFun IsCoprime I) → Function.Surjective ⇑(Ideal.quotientInfToPiQuotient I)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Fintypeproof · cited by 7,736
- Finset.sumproof · cited by 5,195
- Idealstatement and proof · cited by 4,748
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- Compl.complproof · cited by 2,925
- HasQuotient.Quotientstatement and proof · cited by 2,301
- MulZeroClass.mul_zeroproof · cited by 2,091
Cited by2
Results whose statement or proof uses this declaration.
- Ideal.pi_quotient_surjectiveproof · cited by 2
- OrthogonalIdempotents.surjective_piproof · cited by 1