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Proofgold Proof
pf
Let x0 of type
ι
be given.
Let x1 of type
ι
→
ι
→
ι
be given.
Assume H0:
eb6e9..
(
987b2..
x0
x1
)
.
Apply H0 with
and
(
4f2b4..
(
987b2..
x0
x1
)
)
(
explicit_abelian
x0
x1
)
.
Assume H1:
4f2b4..
(
987b2..
x0
x1
)
.
Apply unknownprop_c7b844b5a6603613fffcbf056faadd2a61f1318284eaccf26fa2528ac6442c0c with
x0
,
x1
,
λ x2 x3 : ο .
x3
⟶
and
(
4f2b4..
(
987b2..
x0
x1
)
)
(
explicit_abelian
x0
x1
)
.
Assume H2:
explicit_abelian
x0
x1
.
Apply andI with
4f2b4..
(
987b2..
x0
x1
)
,
explicit_abelian
x0
x1
leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
■