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Verification
.
Nelsen19Limits
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Imports
Init
Verification.Nelsen19
Copula.Dependence.Clayton
Mathlib.Analysis.Calculus.Deriv.Slope
Imported by
Verification
.
nelsen19_tendsto_zero
← Mathematical handbook
source
theorem
Verification
.
nelsen19_tendsto_zero
{
α
:
Type
u_1}
{
l
:
Filter
α
}
(
θ
:
α
→
ℝ
)
(
hθ
:
∀ (
a
:
α
),
0
≤
θ
a
)
(
ht
:
Filter.Tendsto
θ
l
(
nhds
0
)
)
(
u
v
:
↑
unitInterval
)
:
Filter.Tendsto
(fun (
a
:
α
) =>
(
nelsen19
(
θ
a
)
⋯
)
.
cdf
![
u
,
v
]
)
l
(
nhds
(
(
ProbabilityTheory.Copula.clayton
2
1
⋯
)
.
cdf
![
u
,
v
]
)
)