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LeanPool
.
NandakumarRamanaRao
.
HumanVerification
.
CauchyCroftonStatement
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Imports
Init
LeanPool.NandakumarRamanaRao.HumanVerification.InternalModel
Imported by
HumanVerification
.
CauchyCroftonStatement
Cauchy Crofton Statement
#
source
def
HumanVerification
.
CauchyCroftonStatement
:
Prop
The exact general planar Cauchy--Crofton bridge needed by the wrapper.
Equations
HumanVerification.CauchyCroftonStatement
=
∀ (
K
:
NRR.Geometry.ConvexBody
NRR.HumanExport.Plane
),
(
MeasureTheory.Measure.hausdorffMeasure
1
)
(
frontier
K
.
carrier
)
=
ENNReal.ofReal
K
.
perimeter
Instances For