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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
Field
x0
.
Let x1 of type
ι
be given.
Assume H1:
x1
∈
field0
x0
.
Apply If_i_1 with
x1
∈
ap
x0
0
,
explicit_Field_minus
(
ap
x0
0
)
(
ap
x0
3
)
(
ap
x0
4
)
(
decode_b
(
ap
x0
1
)
)
(
decode_b
(
ap
x0
2
)
)
x1
,
0
.
The subproof is completed by applying H1.
■