Measurability on the quotient of a module by a submodule #
instance
Submodule.Quotient.instMeasurableSpaceQuotient
{R : Type u_1}
{M : Type u_2}
[Ring R]
[AddCommGroup M]
[Module R M]
{p : Submodule R M}
[MeasurableSpace M]
:
MeasurableSpace (M ⧸ p)
Equations
- Submodule.Quotient.instMeasurableSpaceQuotient = Quotient.instMeasurableSpace
instance
Submodule.Quotient.instDiscreteMeasurableSpaceQuotient
{R : Type u_1}
{M : Type u_2}
[Ring R]
[AddCommGroup M]
[Module R M]
{p : Submodule R M}
[MeasurableSpace M]
[DiscreteMeasurableSpace M]
:
DiscreteMeasurableSpace (M ⧸ p)
Equations
- ⋯ = ⋯