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Mathlib
.
Order
.
Fin
.
Clamp
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source
Imports
Init
Mathlib.Order.MinMax
Batteries.Data.Fin.Lemmas
Mathlib.Order.Fin.Basic
Imported by
Fin
.
clamp_monotone
Fin
.
clamp_eq_last
Lemmas about
Fin.clamp
#
source
theorem
Fin
.
clamp_monotone
{
m
:
ℕ
}
:
Monotone
fun (
n
:
ℕ
) =>
clamp
n
m
source
theorem
Fin
.
clamp_eq_last
(
n
m
:
ℕ
)
(
hmn
:
m
≤
n
)
:
clamp
n
m
=
last
m