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PiBaseLean
.
Properties
.
P40
.
Defs
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source
Imports
Init
Mathlib.Topology.Defs.Basic
Imported by
PiBase
.
UltraconnectedSpace
source
class
PiBase
.
UltraconnectedSpace
(
X
:
Type
u_1)
[
TopologicalSpace
X
]
:
Prop
ultraconnected
(
s
v
:
Set
X
)
:
IsClosed
s
→
IsClosed
v
→
s
.
Nonempty
→
v
.
Nonempty
→
(
s
∩
v
).
Nonempty
Instances