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PiBaseLean
.
Properties
.
P238
.
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source
Imports
Init
Mathlib.Topology.Algebra.Ring.Real
Imported by
PiBase
.
HasRealTVSTopology
source
class
PiBase
.
HasRealTVSTopology
(
X
:
Type
u)
[
t
:
TopologicalSpace
X
]
:
Prop
homeomorphic_to_tvs :
∃ (
a
:
AddCommMonoid
X
) (
x
:
Module
ℝ
X
),
(
Continuous
fun (
x_1
:
ℝ
×
X
) =>
match
x_1
with |
(
r
,
x_2
)
=>
r
•
x_2
)
∧
Continuous
fun (
x
:
X
×
X
) =>
match
x
with |
(
x
,
y
)
=>
x
+
y
Instances