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PiBaseLean
.
Properties
.
P44
.
Defs
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Imports
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PiBaseLean.AdditionalDefs.Meta
Imported by
PiBase
.
BiconnectedSpace
source
class
PiBase
.
BiconnectedSpace
(
X
:
Type
u_1)
[
TopologicalSpace
X
]
extends
PreconnectedSpace
X
:
Prop
isPreconnected_univ
:
IsPreconnected
Set.univ
no_partition
(
s
v
:
Set
X
)
:
ConnectedSpace
↑
s
→
s
.
Nontrivial
→
ConnectedSpace
↑
v
→
v
.
Nontrivial
→
(
s
∩
v
).
Nonempty
Instances