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Proofgold Proof
pf
Let x0 of type
ι
be given.
Assume H0:
ordinal
x0
.
Let x1 of type
ι
be given.
Assume H1:
SNo_
x0
x1
.
Let x2 of type
ο
be given.
Assume H2:
∀ x3 .
and
(
ordinal
x3
)
(
SNo_
x3
x1
)
⟶
x2
.
Apply H2 with
x0
.
Apply andI with
ordinal
x0
,
SNo_
x0
x1
leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
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