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Verification
.
BandSupportConvexity
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Verification.BandSupport
Mathlib.Analysis.Convex.Function
Imported by
Verification
.
bandLowerEdge_convex
Verification
.
bandSupport_convex
← Mathematical handbook
Convexity of the exact diagonal-band support
#
source
theorem
Verification
.
bandLowerEdge_convex
{
b
:
ℝ
}
(
hb
:
0
<
b
)
:
ConvexOn
ℝ
Set.univ
(
bandLowerEdge
b
)
source
theorem
Verification
.
bandSupport_convex
{
b
:
ℝ
}
(
hb
:
0
<
b
)
:
Convex
ℝ
(
bandSupport
b
)
The exact support in the real square is convex for every positive slope.