Level: Lib Thy Top: 1 3
Hypotheses:- Alph :

- R : Alph List

Alph List 

- n :


- L : Alph List


- m :

- (
x:Alph List. R x x)
(
x,y:Alph List. R x y 
R y x)
(
x,y,z:Alph List. R x y
R y z 
R x z)
(
x,y,z:Alph List. R x y 
R (z @ x) (z @ y))
(
w:
n 
Alph List.
l:Alph List.
i:
n. R l (w i))
(
v:
m 
Alph List.
l:Alph List.
(L l) 

(
i:
m. R l (v i)))
Fin(Alph) - x : Alph List
- y : Alph List
- Dec(
x@0:Alph List. (
l.L (l @ x) = L (l @ y)) x@0)
Conclusion:
Dec(
l:Alph List. L (l @ x) = L (l @ y))
Applied Tactic: Reduce 9 THEN Auto
Generated subgoals: