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PiBaseLean
.
Properties
.
P217
.
Defs
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PiBaseLean.AdditionalDefs.Constructions
Imported by
PiBase
.
StronglyZeroDimensionalSpace
source
class
PiBase
.
StronglyZeroDimensionalSpace
(
X
:
Type
u_1)
[
TopologicalSpace
X
]
:
Prop
disjoint_clopen
{
s
t
:
Set
X
}
(
hs
:
IsZero
s
)
(
ht
:
IsZero
t
)
(
st
:
s
∩
t
=
∅
)
:
∃ (
s'
:
Set
X
) (
t'
:
Set
X
),
IsClopen
s'
∧
IsClopen
t'
∧
s
⊆
s'
∧
t
⊆
t'
∧
s'
∩
t'
=
∅
Instances