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Proofgold Proposition
∀ x0 x1 x2 .
∀ x3 x4 :
ι →
ι → ι
.
explicit_Field
x0
x1
x2
x3
x4
⟶
∀ x5 : ο .
(
(
∀ x6 .
prim1
x6
x0
⟶
prim1
(
explicit_Field_minus
x0
x1
x2
x3
x4
x6
)
x0
)
⟶
explicit_Field_minus
x0
x1
x2
x3
x4
x1
=
x1
⟶
(
∀ x6 .
prim1
x6
x0
⟶
explicit_Field_minus
x0
x1
x2
x3
x4
(
explicit_Field_minus
x0
x1
x2
x3
x4
x6
)
=
x6
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
x3
(
explicit_Field_minus
x0
x1
x2
x3
x4
x6
)
x6
=
x1
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
x3
x6
(
explicit_Field_minus
x0
x1
x2
x3
x4
x6
)
=
x1
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
∀ x8 .
prim1
x8
x0
⟶
x4
(
x3
x6
x7
)
x8
=
x3
(
x4
x6
x8
)
(
x4
x7
x8
)
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
explicit_Field_minus
x0
x1
x2
x3
x4
(
x3
x6
x7
)
=
x3
(
explicit_Field_minus
x0
x1
x2
x3
x4
x6
)
(
explicit_Field_minus
x0
x1
x2
x3
x4
x7
)
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
x4
(
explicit_Field_minus
x0
x1
x2
x3
x4
x6
)
x7
=
explicit_Field_minus
x0
x1
x2
x3
x4
(
x4
x6
x7
)
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
x4
x6
(
explicit_Field_minus
x0
x1
x2
x3
x4
x7
)
=
explicit_Field_minus
x0
x1
x2
x3
x4
(
x4
x6
x7
)
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
x4
x1
x6
=
x1
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
x4
x6
x1
=
x1
)
⟶
prim1
(
explicit_Field_minus
x0
x1
x2
x3
x4
x2
)
x0
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
∀ x8 .
prim1
x8
x0
⟶
prim1
(
x4
x6
(
x4
x7
x8
)
)
x0
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
∀ x8 .
prim1
x8
x0
⟶
∀ x9 .
prim1
x9
x0
⟶
x3
(
x3
x6
x7
)
(
x3
x8
x9
)
=
x3
(
x3
x6
x9
)
(
x3
x7
x8
)
)
⟶
(
∀ x6 .
prim1
x6
x0
⟶
∀ x7 .
prim1
x7
x0
⟶
∀ x8 .
prim1
x8
x0
⟶
∀ x9 .
prim1
x9
x0
⟶
x3
(
x3
x6
x7
)
(
x3
x8
x9
)
=
x3
(
x3
x6
x8
)
(
x3
x7
x9
)
)
⟶
x5
)
⟶
x5
type
prop
theory
HoTg
name
-
proof
PUhAZ..
Megalodon
-
proofgold address
TMLKV..
creator
3859
PrGxv..
/
f81a8..
owner
3859
PrGxv..
/
f81a8..
term root
93bbb..