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SphereEversion
.
ToMathlib
.
Topology
.
Separation
.
Hausdorff
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Imports
Init
Mathlib.Topology.Separation.Hausdorff
Imported by
t2Space_iff_of_continuous_surjective_open
source
theorem
t2Space_iff_of_continuous_surjective_open
{
α
:
Type
u_3}
{
β
:
Type
u_4}
[
TopologicalSpace
α
]
[
TopologicalSpace
β
]
{
π
:
α
→
β
}
(
hcont
:
Continuous
π
)
(
hsurj
:
Function.Surjective
π
)
(
hop
:
IsOpenMap
π
)
:
T2Space
β
↔
IsClosed
{
q
:
α
×
α
|
π
q
.1
=
π
q
.2
}