Documentation
Mathlib
.
CategoryTheory
.
Limits
.
Shapes
.
Connected
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Imports
Init
Mathlib.CategoryTheory.IsConnected
Mathlib.CategoryTheory.Limits.Shapes.WidePullbacks
Imported by
CategoryTheory
.
instIsConnectedWidePullbackShape
CategoryTheory
.
instIsConnectedWidePushoutShape
Connected shapes
#
In this file we prove that various shapes are connected.
source
instance
CategoryTheory
.
instIsConnectedWidePullbackShape
{J :
Type
u_1}
:
CategoryTheory.IsConnected
(
CategoryTheory.Limits.WidePullbackShape
J
)
Equations
⋯
=
⋯
source
instance
CategoryTheory
.
instIsConnectedWidePushoutShape
{J :
Type
u_1}
:
CategoryTheory.IsConnected
(
CategoryTheory.Limits.WidePushoutShape
J
)
Equations
⋯
=
⋯