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Mathlib
.
Topology
.
Instances
.
Shrink
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Imports
Init
Mathlib.Logic.Small.Defs
Mathlib.Topology.Defs.Induced
Mathlib.Topology.Homeomorph.Defs
Imported by
Shrink
.
instTopologicalSpace
Shrink
.
homeomorph
Shrink
.
homeomorph_toEquiv
Topological space structure on
Shrink
X
#
source
noncomputable instance
Shrink
.
instTopologicalSpace
(
X
:
Type
u)
[
TopologicalSpace
X
]
[
Small.{v, u}
X
]
:
TopologicalSpace
(
Shrink.{v, u}
X
)
Equations
source
noncomputable def
Shrink
.
homeomorph
(
X
:
Type
u)
[
TopologicalSpace
X
]
[
Small.{v, u}
X
]
:
X
≃ₜ
Shrink.{v, u}
X
equivShrink
as a homeomorphism.
Equations
Instances For
source
@[simp]
theorem
Shrink
.
homeomorph_toEquiv
(
X
:
Type
u)
[
TopologicalSpace
X
]
[
Small.{v, u}
X
]
:
(
homeomorph
X
)
.
toEquiv
=
equivShrink
X