
 Alph*
Alph*
 Prop
Prop

 x:Alph*. R(x,x))
 &  (
x:Alph*. R(x,x))
 &  ( x,y:Alph*. R(x,y)
x,y:Alph*. R(x,y) 
 R(y,x))
 &  (
 R(y,x))
 &  ( x,y,z:Alph*. R(x,y)  &  R(y,z)
x,y,z:Alph*. R(x,y)  &  R(y,z) 
 R(x,z))
 &  (
 R(x,z))
 &  ( x,y,z:Alph*. R(x,y)
x,y,z:Alph*. R(x,y) 
 R((z @ x),z @ y))
 &  (
 R((z @ x),z @ y))
 &  ( w:(
w:( n
n
 Alph*).
Alph*).  l:Alph*.
l:Alph*.  i:
i: n. R(l,w(i)))
n. R(l,w(i))) a.
a. a':Alph*. ||a'|| < n
a':Alph*. ||a'|| < n n  &  R((a @ b),a' @ b)  &  R((a @ c),a' @ c))(a)
n  &  R((a @ b),a' @ b)  &  R((a @ c),a' @ c))(a) 
  a':Alph*. ||a'|| < n
a':Alph*. ||a'|| < n n  &  R((a @ b),a' @ b)  &  R((a @ c),a' @ c)
n  &  R((a @ b),a' @ b)  &  R((a @ c),a' @ c)None
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