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HelpersLib
.
PReal
.
Sqrt
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Imports
Init
Mathlib
HelpersLib.PReal.Basic
Imported by
PReal
.
sqrt
PReal
.
sqrt_to_real
PReal
.
mul_self_sqrt
source
noncomputable def
PReal
.
sqrt
(
x
:
ℝ>0
)
:
ℝ>0
Equations
x
.
sqrt
=
⟨
√
↑
x
,
⋯
⟩
Instances For
source
@[simp]
theorem
PReal
.
sqrt_to_real
(
x
:
ℝ>0
)
:
↑
x
.
sqrt
=
√
↑
x
source
@[simp]
theorem
PReal
.
mul_self_sqrt
(
x
:
ℝ>0
)
:
x
.
sqrt
*
x
.
sqrt
=
x