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Monlib
.
LinearAlgebra
.
Matrix
.
PiMat
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Imports
Init
Mathlib.Data.Matrix.Basic
Imported by
Mat
PiMat
PiMat
.
ext
source
@[reducible, inline]
abbrev
Mat
(
R
:
Type
u_1)
(
n
:
Type
u_2)
:
Type
(max u_2 u_1)
Equations
Mat
R
n
=
Matrix
n
n
R
Instances For
source
@[reducible, inline]
abbrev
PiMat
(
R
:
Type
u_1)
(
k
:
Type
u_2)
(
s
:
k
→
Type
u_3
)
:
Type
(max (max u_2 u_3) u_1)
Equations
PiMat
R
k
s
=
((
i
:
k
) →
(fun (
j
:
k
) =>
Mat
R
(
s
j
)
)
i
)
Instances For
source
theorem
PiMat
.
ext
{
R
:
Type
u_1}
{
k
:
Type
u_2}
{
s
:
k
→
Type
u_3
}
{
x
y
:
PiMat
R
k
s
}
(
h
:
∀ (
i
:
k
),
x
i
=
y
i
)
:
x
=
y