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Verification
.
Nelsen10Continuity
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Imports
Init
Verification.Nelsen10Dependence
Mathlib.Analysis.Calculus.DSlope
Imported by
Verification
.
n10LogDen
Verification
.
n10LogDen_deriv_zero
Verification
.
nelsen10_continuousAt_zero
← Mathematical handbook
source
noncomputable def
Verification
.
n10LogDen
(
u
v
t
:
ℝ
)
:
ℝ
Equations
Verification.n10LogDen
u
v
t
=
Real.log
(
1
+
(
1
-
Real.exp
(
t
*
Real.log
u
)
)
*
(
1
-
Real.exp
(
t
*
Real.log
v
)
))
Instances For
source
theorem
Verification
.
n10LogDen_deriv_zero
(
u
v
:
ℝ
)
:
HasDerivAt
(
n10LogDen
u
v
)
0
0
source
theorem
Verification
.
nelsen10_continuousAt_zero
(
u
v
:
↑
unitInterval
)
:
ContinuousAt
(fun (
θ
:
↑
unitInterval
) =>
(
nelsen10
θ
)
.
cdf
![
u
,
v
]
)
0