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Mathlib
.
Data
.
Countable
.
Small
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Imports
Init
Mathlib.Data.Countable.Defs
Mathlib.Logic.Small.Basic
Imported by
Countable
.
toSmall
Uncountable
.
of_not_small
All countable types are small.
#
That is, any countable type is equivalent to a type in any universe.
source
@[instance 100]
instance
Countable
.
toSmall
(
α
:
Type
v)
[
Countable
α
]
:
Small.{w, v}
α
source
theorem
Uncountable
.
of_not_small
{
α
:
Type
v}
(
h
:
¬
Small.{w, v}
α
)
:
Uncountable
α