Nuprl - Pf sublist transitivity 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1

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At: sublist transitivity 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1

1. T: Type
2. Discrete{T}
3. eq: {T}
4. eq TT
5. x:T. eq(x,x)
6. x,y:T. eq(x,y) eq(y,x)
7. x,y,z:T. eq(x,y) eq(y,z) eq(x,z)
8. L1: T List
9. L2: T List
10. L3: T List
11. f: {T=}
12. f TT
13. x,y:T. f(x,y) x = y
14. z: T
15. z(f) L1
16. u: T
17. v: T List
18. (z:T. z(f) v z(eq) L3) z(eq) v z(eq) L3
19. eq(z,u) = true
20. True
21. if true true else u(f) v fi u(eq) L3
22. f(u,u)
23. f(u,u) = true

z(eq) L3

By: Rewrite (HigherC ifthenelse_evalC THENC HigherC assert_evalC) 21 THEN Analyze 21 THENA Trivial

Generated subgoal:

1 21. f(u,u)
22. f(u,u) = true
23. u(eq) L3
z(eq) L3

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