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SpherePacking
.
ForMathlib
.
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Imports
Init
Mathlib.Order.CompletePartialOrder
Mathlib.Topology.OmegaCompletePartialOrder
Mathlib.Data.ENat.Lattice
Mathlib.Data.Set.Card
Mathlib.MeasureTheory.Measure.AEDisjoint
Mathlib.Topology.Algebra.InfiniteSum.Defs
Imported by
Set
.
encard_iUnion_of_pairwiseDisjoint
source
theorem
Set
.
encard_iUnion_of_pairwiseDisjoint
{
ι
:
Type
u_1}
{
α
:
Type
u_2}
{
s
:
ι
→
Set
α
}
(
hs
:
univ
.
PairwiseDisjoint
s
)
:
(⋃ (
i
:
ι
),
s
i
)
.
encard
=
∑'
(
i
:
ι
)
,
(
s
i
)
.
encard