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Proofgold Proposition
∀ x0 x1 .
SNo
x0
⟶
SNo
x1
⟶
and
(
and
(
and
(
and
(
and
(
SNo
(
add_SNo
x0
x1
)
)
(
∀ x2 .
x2
∈
SNoL
x0
⟶
SNoLt
(
add_SNo
x2
x1
)
(
add_SNo
x0
x1
)
)
)
(
∀ x2 .
x2
∈
SNoR
x0
⟶
SNoLt
(
add_SNo
x0
x1
)
(
add_SNo
x2
x1
)
)
)
(
∀ x2 .
x2
∈
SNoL
x1
⟶
SNoLt
(
add_SNo
x0
x2
)
(
add_SNo
x0
x1
)
)
)
(
∀ x2 .
x2
∈
SNoR
x1
⟶
SNoLt
(
add_SNo
x0
x1
)
(
add_SNo
x0
x2
)
)
)
(
SNoCutP
(
binunion
{
add_SNo
x2
x1
|x2 ∈
SNoL
x0
}
(
prim5
(
SNoL
x1
)
(
add_SNo
x0
)
)
)
(
binunion
{
add_SNo
x2
x1
|x2 ∈
SNoR
x0
}
(
prim5
(
SNoR
x1
)
(
add_SNo
x0
)
)
)
)
type
prop
theory
HotG
name
add_SNo_prop1
proof
PUi5E..
Megalodon
add_SNo_prop1
proofgold address
TMRNp..
add_SNo_prop1
creator
4962
Pr6Pc..
/
9a242..
owner
4962
Pr6Pc..
/
9a242..
term root
f3ece..