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May 8th, 2010
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  1. > data Nat := (zero : Nat) ; (suc : Nat -> Nat) ;
  2. Data'd.
  3. > let plus : (m : Nat) (n : Nat) : Nat ;
  4. Parse failure: end of parser.
  5. > let plus (m : Nat) (n : Nat) : Nat ;
  6. Let there be plus.
  7. \ m : Nat ->
  8. \ n : Nat ->
  9. Programming: < plus^1 m n : Nat >
  10. plus_1.plus-impl_2 > <= Nat.Ind n
  11. Eliminated and simplified.
  12. \ m^2 : Nat ->
  13. \ n : Nat ->
  14. \ m : Nat ->
  15. Programming: < plus^1 m 'zero : Nat >
  16. plus_1.plus-impl_2.makeE_2.m_1.s_0.e_0.xf_0.u_0.u_0 > = m
  17. Ta.
  18. \ m^2 : Nat ->
  19. \ n : Nat ->
  20. \ xf^1 : Nat ->
  21. \ xf : (m : Nat) -> < plus^1 m xf : Nat > ->
  22. \ m : Nat ->
  23. Programming: < plus^1 m ('suc xf^1) : Nat >
  24. plus_1.plus-impl_2.makeE_2.m_1.s_0.e_0.t_1.xf_0.s_0.u_1.s_0.u_1 >
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