Documentation
Verification
.
Nelsen13DensityMeasure
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Imports
Init
Verification.Nelsen13Dependence
Verification.Nelsen13Integrals
Imported by
Verification
.
nelsen13_toMeasure_density
Verification
.
nelsen13_hasMTP2Density
Verification
.
nelsen13_density_tp2_iff
← Mathematical handbook
source
theorem
Verification
.
nelsen13_toMeasure_density
{
θ
:
ℝ
}
(
hθ
:
1
≤
θ
)
:
(
nelsen13
θ
⋯
)
.
toMeasure
=
MeasureTheory.volume
.
withDensity
fun (
x
:
Fin
2
→
↑
unitInterval
) =>
ENNReal.ofReal
(
n13Density
θ
x
)
source
theorem
Verification
.
nelsen13_hasMTP2Density
{
θ
:
ℝ
}
(
hθ
:
1
≤
θ
)
:
(
nelsen13
θ
⋯
)
.
HasMTP2Density
source
theorem
Verification
.
nelsen13_density_tp2_iff
(
θ
:
ℝ
)
(
hθ
:
0
≤
θ
)
:
(
nelsen13
θ
hθ
)
.
HasMTP2Density
↔
1
≤
θ