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Mathlib
.
Algebra
.
Order
.
Ring
.
Prod
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Imports
Init
Mathlib.Algebra.Ring.Prod
Mathlib.Algebra.Order.Monoid.Prod
Mathlib.Algebra.Order.Ring.Defs
Imported by
instIsOrderedRingProd
Products of ordered rings
#
source
instance
instIsOrderedRingProd
{
α
:
Type
u_1}
{
β
:
Type
u_2}
[
Semiring
α
]
[
PartialOrder
α
]
[
IsOrderedRing
α
]
[
Semiring
β
]
[
PartialOrder
β
]
[
IsOrderedRing
β
]
:
IsOrderedRing
(
α
×
β
)