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Proofgold Proposition
∀ x0 .
SNo
x0
⟶
SNoLe
0
x0
⟶
(
∀ x1 .
nat_p
x1
⟶
and
(
∀ x2 .
x2
∈
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
0
⟶
and
(
and
(
SNo
x2
)
(
SNoLe
0
x2
)
)
(
SNoLt
(
mul_SNo
x2
x2
)
x0
)
)
(
∀ x2 .
x2
∈
ap
(
SNo_sqrtaux
x0
sqrt_SNo_nonneg
x1
)
1
⟶
and
(
and
(
SNo
x2
)
(
SNoLe
0
x2
)
)
(
SNoLt
x0
(
mul_SNo
x2
x2
)
)
)
)
⟶
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
)
)
type
prop
theory
HotG
name
sqrt_SNo_nonneg_prop1b
proof
PUSRj..
Megalodon
sqrt_SNo_nonneg_prop1b
proofgold address
TMRNh..
sqrt_SNo_nonneg_prop1b
creator
27837
PrQUS..
/
a6af7..
owner
27837
PrQUS..
/
a6af7..
term root
79d32..