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Proofgold Proposition
∀ x0 .
SNo
x0
⟶
(
∀ x1 .
x1
∈
SNoS_
(
SNoLev
x0
)
⟶
and
(
and
(
and
(
SNo
(
minus_SNo
x1
)
)
(
∀ x2 .
x2
∈
SNoL
x1
⟶
SNoLt
(
minus_SNo
x1
)
(
minus_SNo
x2
)
)
)
(
∀ x2 .
x2
∈
SNoR
x1
⟶
SNoLt
(
minus_SNo
x2
)
(
minus_SNo
x1
)
)
)
(
SNoCutP
(
prim5
(
SNoR
x1
)
minus_SNo
)
(
prim5
(
SNoL
x1
)
minus_SNo
)
)
)
⟶
(
∀ x1 .
x1
∈
SNoL
x0
⟶
and
(
and
(
SNo
(
minus_SNo
x1
)
)
(
∀ x2 .
x2
∈
SNoL
x1
⟶
SNoLt
(
minus_SNo
x1
)
(
minus_SNo
x2
)
)
)
(
∀ x2 .
x2
∈
SNoR
x1
⟶
SNoLt
(
minus_SNo
x2
)
(
minus_SNo
x1
)
)
)
⟶
SNoCutP
(
prim5
(
SNoR
x0
)
minus_SNo
)
(
prim5
(
SNoL
x0
)
minus_SNo
)
⟶
and
(
and
(
and
(
SNo
(
minus_SNo
x0
)
)
(
∀ x1 .
x1
∈
SNoL
x0
⟶
SNoLt
(
minus_SNo
x0
)
(
minus_SNo
x1
)
)
)
(
∀ x1 .
x1
∈
SNoR
x0
⟶
SNoLt
(
minus_SNo
x1
)
(
minus_SNo
x0
)
)
)
(
SNoCutP
(
prim5
(
SNoR
x0
)
minus_SNo
)
(
prim5
(
SNoL
x0
)
minus_SNo
)
)
type
prop
theory
HotG
name
-
proof
PURzn..
Megalodon
Conj_minus_SNo_prop1__9__3
proofgold address
TMNfk..
Conj_minus_SNo_prop1__9__3
creator
35045
PrNpY..
/
332de..
owner
35047
PrNpY..
/
3180b..
term root
1db21..