Nuprl - Pf sublist transitivity 1 1 1 1 1 1

(45steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: sublist transitivity 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

z:T. z(f) L1 z(eq) L3

By: UnivCD

Generated subgoal:

1 16. z: T
17. z(f) L1
z(eq) L3

About:

(45steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc