Documentation
Mathlib
.
CategoryTheory
.
Groupoid
.
Discrete
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Imports
Init
Mathlib.CategoryTheory.DiscreteCategory
Mathlib.CategoryTheory.Groupoid
Imported by
CategoryTheory
.
instGroupoidDiscrete
Discrete categories are groupoids
#
source
instance
CategoryTheory
.
instGroupoidDiscrete
{C :
Type
u_1}
:
CategoryTheory.Groupoid
(
CategoryTheory.Discrete
C
)
Equations
CategoryTheory.instGroupoidDiscrete
=
CategoryTheory.Groupoid.mk
(fun {
X
Y
:
CategoryTheory.Discrete
C
} (
h
:
X
⟶
Y
) =>
{
down
:=
{
down
:=
⋯
}
}
)
⋯
⋯