theorem
ContinuousMonoidHom.isClosedEmbedding_coe
{M : Type u_1}
{N : Type u_2}
[Monoid M]
[Monoid N]
[TopologicalSpace M]
[TopologicalSpace N]
[DiscreteTopology M]
[ContinuousMul N]
[T2Space N]
:
theorem
ContinuousAddMonoidHom.isClosedEmbedding_coe
{M : Type u_1}
{N : Type u_2}
[AddMonoid M]
[AddMonoid N]
[TopologicalSpace M]
[TopologicalSpace N]
[DiscreteTopology M]
[ContinuousAdd N]
[T2Space N]
:
instance
ContinuousMonoidHom.instCompactSpace_leanAPAP
{M : Type u_1}
{N : Type u_2}
[Monoid M]
[Monoid N]
[TopologicalSpace M]
[TopologicalSpace N]
[DiscreteTopology M]
[ContinuousMul N]
[T2Space N]
[CompactSpace N]
:
CompactSpace (M →ₜ* N)
instance
ContinuousAddMonoidHom.instCompactSpace_leanAPAP
{M : Type u_1}
{N : Type u_2}
[AddMonoid M]
[AddMonoid N]
[TopologicalSpace M]
[TopologicalSpace N]
[DiscreteTopology M]
[ContinuousAdd N]
[T2Space N]
[CompactSpace N]
:
CompactSpace (M →ₜ+ N)