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Proofgold Proof
pf
Apply int_SNo_cases with
λ x0 .
minus_SNo
x0
∈
int
leaving 2 subgoals.
The subproof is completed by applying int_minus_SNo_omega.
Let x0 of type
ι
be given.
Assume H0:
x0
∈
omega
.
Apply minus_SNo_invol with
x0
,
λ x1 x2 .
x2
∈
int
leaving 2 subgoals.
Apply ordinal_SNo with
x0
.
Apply nat_p_ordinal with
x0
.
Apply omega_nat_p with
x0
.
The subproof is completed by applying H0.
Apply Subq_omega_int with
x0
.
The subproof is completed by applying H0.
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