Theorems · Definition · commutative algebra
RingCon.toQuotient
{R : Type u_1} → [inst : Add R] → [inst_1 : Mul R] → {c : RingCon R} → R → c.QuotientThe morphism into the quotient by a congruence relation
- Defined in
- Mathlib.RingTheory.Congruence.Defs
- Cited by
- 69 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingConstatement and proof · cited by 219
- Quotient.mk''proof · cited by 132
- RingCon.Quotientstatement · cited by 118
Cited by71
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.dpproof · cited by 31
- RingCon.mk'proof · cited by 23
- DividedPowerAlgebra.dp_zeroproof · cited by 6
- RingCon.mkₐ_applystatement · cited by 5
- DividedPowerAlgebra.dp_smulproof · cited by 4
- DividedPowerAlgebra.dp_addproof · cited by 3
- DividedPowerAlgebra.dp_defstatement · cited by 3
- DividedPowerAlgebra.lift'_applystatement · cited by 3
- RingCon.coe_mulstatement · cited by 2
- RingCon.comapQuotientEquivOfSurj_mkstatement · cited by 2
- RingCon.eqstatement · cited by 2
- TensorAlgebra.ι_defstatement and proof · cited by 1