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At:
nat to nat pair inj122 1. a1 : 2. u:. u<a1 (a3:. nat_to_nat_pair(u) = nat_to_nat_pair(a3) u = a3)
3. a2 : 4. next_nat_pair(nat_to_nat_pair(a1-1)) = next_nat_pair(nat_to_nat_pair(a2-1))
5. a1 0
6. a2 0
a1 = a2
By:
FwdThru: Thm* Inj(; ; next_nat_pair) on [ Hyp:-3 ]