At:
 
equivalence  weakening  lemma
 
1
 
1
 
1
1. 
T: Type
2. 
eq: {T= }
}
3. 
eq  T
 T
 T
T

 
4. 
 x,y:T. eq(x,y)
x,y:T. eq(x,y) 
 x = y
 x = y
5. 
f: {T
 }
}
6. 
f  T
 T
 T
T

 
7. 
 x:T. f(x,x)
x:T. f(x,x)
8. 
 x,y:T. f(x,y)
x,y:T. f(x,y) 
 f(y,x)
 f(y,x)
9. 
 x,y,z:T. f(x,y)
x,y,z:T. f(x,y) 
 f(y,z)
 f(y,z) 
 f(x,z)
 f(x,z)
10. 
x: T
11. 
y: T
12. 
eq(x,y)
13. 
x = y
  f(x,y)
 
f(x,y)
By: 
HypSubst -1 0
THEN
Witness7 y
THEN
Trivial
Generated subgoals:
None
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