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At: append functionality wrt sublist

T:Type, L1,L2:T List, eq1,eq2,eq3:{T}, L3,L4:T List. Discrete{T} eq1 = eq2 eq2 = eq3 L1(eq1)L2 L3(eq2)L4 (L1 @ L3)(eq3)(L2 @ L4)
By:
RepeatFor 3 (Analyze 0)
THEN
RepeatFor 3 (Analyze 0 THEN Equivalence -1)
THEN
UnivCD
Generated subgoal:

11. T: Type
2. L1: T List
3. L2: T List
4. eq1: {T}
5. eq1 TT
6. x:T. eq1(x,x)
7. x,y:T. eq1(x,y) eq1(y,x)
8. x,y,z:T. eq1(x,y) eq1(y,z) eq1(x,z)
9. eq2: {T}
10. eq2 TT
11. x:T. eq2(x,x)
12. x,y:T. eq2(x,y) eq2(y,x)
13. x,y,z:T. eq2(x,y) eq2(y,z) eq2(x,z)
14. eq3: {T}
15. eq3 TT
16. x:T. eq3(x,x)
17. x,y:T. eq3(x,y) eq3(y,x)
18. x,y,z:T. eq3(x,y) eq3(y,z) eq3(x,z)
19. L3: T List
20. L4: T List
21. Discrete{T}
22. eq1 = eq2 {T}
23. eq2 = eq3 {T}
24. L1(eq1)L2
25. L3(eq2)L4
(L1 @ L3)(eq3)(L2 @ L4)

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listuniverseequalimpliesall

(15steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc