Theorems · Definition · commutative algebra
DoubleQuot.quotLeftToQuotSup
{R : Type u} → [inst : CommRing R] → (I J : Ideal R) → R ⧸ I →+* R ⧸ I ⊔ JThe obvious ring hom R/I → R/(I ⊔ J)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- Ideal.Quotient.factorproof · cited by 33
Cited by5
Results whose statement or proof uses this declaration.
- DoubleQuot.quotLeftToQuotSupₐproof · cited by 2
- DoubleQuot.quotQuotToQuotSupproof · cited by 2
- DoubleQuot.ker_quotLeftToQuotSupstatement · cited by 0
- DoubleQuot.quotLeftToQuotSupₐ_toRingHomstatement · cited by 0
- DoubleQuot.coe_quotLeftToQuotSupₐstatement · cited by 0