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MiscYD
.
Mathlib
.
LinearAlgebra
.
AffineSpace
.
FiniteDimensional
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Imports
Init
Mathlib.LinearAlgebra.AffineSpace.FiniteDimensional
Imported by
AffineSubspace
.
mem_of_collinear
source
theorem
AffineSubspace
.
mem_of_collinear
{
k
:
Type
u_1}
{
V
:
Type
u_2}
{
P
:
Type
u_3}
[
DivisionRing
k
]
[
AddCommGroup
V
]
[
Module
k
V
]
[
AddTorsor
V
P
]
{
s
:
AffineSubspace
k
P
}
{
x
y
z
:
P
}
(
h
:
Collinear
k
{
x
,
y
,
z
}
)
(
hx
:
x
∈
s
)
(
hz
:
z
∈
s
)
:
y
∈
s