Theorems · Definition · commutative algebra
ModuleCon.Quotient
{S : Type u_2} → (M : Type u_3) → [inst : Add M] → [inst_1 : SMul S M] → ModuleCon S M → Type u_3The quotient by a congruence relation preserving addition and scalar multiplication.
- Defined in
- Mathlib.Algebra.Module.Congruence.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 3 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.
- AddCon.toSetoidproof · cited by 20
- ModuleConstatement and proof · cited by 4
- ModuleCon.toAddConproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Module.DirectLimitproof · cited by 41
- Module.Finite.reprₛproof · cited by 2
- ModuleCon.quotientKerEquivOfSurjectivestatement · cited by 0