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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
be given.
The subproof is completed by applying and7E with
Field
x0
,
Field
x1
,
field0
x0
⊆
field0
x1
,
field3
x0
=
field3
x1
,
field4
x0
=
field4
x1
,
∀ x2 .
x2
∈
field0
x0
⟶
∀ x3 .
x3
∈
field0
x0
⟶
field1b
x0
x2
x3
=
field1b
x1
x2
x3
,
∀ x2 .
x2
∈
field0
x0
⟶
∀ x3 .
x3
∈
field0
x0
⟶
field2b
x0
x2
x3
=
field2b
x1
x2
x3
.
■