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Imports
Init
Mathlib.Algebra.Order.Module.Defs
LeanAPAP.Mathlib.Algebra.Order.Field.Basic
Imported by
abs_nnqsmul
LinearOrderedSemifield
.
toPosSMulStrictMono_rat
source
@[simp]
theorem
abs_nnqsmul
{α :
Type
u_1}
[
LinearOrderedAddCommGroup
α
]
[
DistribMulAction
ℚ≥0
α
]
[
PosSMulMono
ℚ≥0
α
]
(q :
ℚ≥0
)
(a :
α
)
:
|
q
•
a
|
=
q
•
|
a
|
source
instance
LinearOrderedSemifield
.
toPosSMulStrictMono_rat
{α :
Type
u_1}
[
LinearOrderedSemifield
α
]
:
PosSMulStrictMono
ℚ≥0
α
Equations
⋯
=
⋯