Theorems · Theorem · commutative algebra
Ideal.Quotient.factor_comp_mk
∀ {R : Type u} [inst : Ring R] {S T : Ideal R} [inst_1 : S.IsTwoSided] [inst_2 : T.IsTwoSided] (H : S ≤ T),
(Ideal.Quotient.factor H).comp (Ideal.Quotient.mk S) = Ideal.Quotient.mk T- Defined in
- Mathlib.RingTheory.Ideal.Quotient.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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 and proof · cited by 2,301
- RingHom.compstatement · cited by 899
- Ideal.Quotient.mkstatement and proof · cited by 610
- RingHom.extproof · cited by 331
- Ideal.IsTwoSidedstatement and proof · cited by 179
- RingHom.comp_applyproof · cited by 41
- Ideal.Quotient.factorstatement and proof · cited by 33
- Ideal.Quotient.factor_mkproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.IdealSheafData.glueDataObjHom_ιproof · cited by 3
- Ideal.Quotient.factor_compproof · cited by 1