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Proofgold Proposition
∀ x0 .
SNo
x0
⟶
SNoLe
0
x0
⟶
(
∀ x1 .
x1
∈
SNoS_
(
SNoLev
x0
)
⟶
SNoLe
0
x1
⟶
and
(
and
(
SNo
(
sqrt_SNo_nonneg
x1
)
)
(
SNoLe
0
(
sqrt_SNo_nonneg
x1
)
)
)
(
mul_SNo
(
sqrt_SNo_nonneg
x1
)
(
sqrt_SNo_nonneg
x1
)
=
x1
)
)
⟶
SNoCutP
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
0
)
)
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
1
)
)
⟶
SNoLe
0
(
SNoCut
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
0
)
)
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
1
)
)
)
⟶
SNoLt
(
mul_SNo
(
SNoCut
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
0
)
)
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
1
)
)
)
(
SNoCut
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
0
)
)
(
famunion
omega
(
λ x1 .
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
1
)
)
)
)
x0
⟶
False
type
prop
theory
HotG
name
sqrt_SNo_nonneg_prop1d
proof
PUgxt..
Megalodon
sqrt_SNo_nonneg_prop1d
proofgold address
TMQHF..
sqrt_SNo_nonneg_prop1d
creator
27854
PrQUS..
/
56b01..
owner
27854
PrQUS..
/
56b01..
term root
9308b..