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

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At: sublist transitivity 1 1 1 1 1 1 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. xL1.x(eq) L2
12. xL2.x(eq) L3
13. f: {T=}
14. f TT
15. x,y:T. f(x,y) x = y
16. z: T
17. z(f) L1
18. xL1.x(eq) L2 (z:T. z(f) L1 z(eq) L2)
19. xL2.x(eq) L3 (z:T. z(f) L2 z(eq) L3)

z(eq) L3

By: RenameVar `zz' 12 THEN With zz (Analyze -1) THEN RenameVar `xx' 11 THEN Witness18 xx THEN Thin 12 THEN Thin 11

Generated subgoal:

1 11. f: {T=}
12. f TT
13. x,y:T. f(x,y) x = y
14. z: T
15. z(f) L1
16. z:T. z(f) L2 z(eq) L3
17. z:T. z(f) L1 z(eq) L2
z(eq) L3

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