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.
ForMathlib
.
ENNReal
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Imports
Init
Mathlib.Analysis.SpecialFunctions.Pow.Continuity
Imported by
ENNReal
.
Tendsto
.
rpow
ENNReal
.
div_div_div_cancel_left
source
theorem
ENNReal
.
Tendsto
.
rpow
{
α
:
Type
u_1}
{
f
:
Filter
α
}
{
m
:
α
→
ENNReal
}
{
a
:
ENNReal
}
{
n
:
ℝ
}
(
hm
:
Filter.Tendsto
m
f
(
nhds
a
)
)
:
Filter.Tendsto
(fun (
x
:
α
) =>
m
x
^
n
)
f
(
nhds
(
a
^
n
))
source
theorem
ENNReal
.
div_div_div_cancel_left
{
a
b
c
:
ENNReal
}
(
ha
:
a
≠
0
)
(
ha'
:
a
≠
⊤
)
(
hc
:
c
≠
⊤
)
:
a
/
b
/
(
a
/
c
)
=
c
/
b