At: auto2 lemma 4 1 1 1 1 2 1
1. Alph: Type
2. R: Alph*
Alph*
Prop
3. n: 

4. (
x:Alph*. R(x,x))
& (
x,y:Alph*. R(x,y) 
R(y,x))
& (
x,y,z:Alph*. R(x,y) & R(y,z) 
R(x,z))
& (
x,y,z:Alph*. R(x,y) 
R((z @ x),z @ y))
& (
w:(
n
Alph*).
l:Alph*.
i:
n. R(l,w(i)))
5. a: Alph*
6. b: Alph*
7. c: Alph*
8. (
a.
a':Alph*. ||a'|| < n
n & R((a @ b),a' @ b) & R((a @ c),a' @ c))(a)
a':Alph*. ||a'|| < n
n & R((a @ b),a' @ b) & R((a @ c),a' @ c)
By: Reduce 8
Generated subgoals:None
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