Nuprl - Proof: decidable quotient equal 1 1 1 1 1 1 1 1 1 1 1

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
At: decidable quotient equal 1 1 1 1 1 1 1 1 1 1 1

1. T : Type
2. E : T

Prop
3.

a:T. E(a,a)
4.

a,b:T. E(a,b)

E(b,a)
5.

a,b,c:T. E(a,b)

E(b,c)

E(a,c)
6. f : T

x,y:T. (x f y)

E(x,y)
8. u1 : T
9. u2 : T
10. E(u1,u2)
11. v1 : T
12. v2 : T
13. E(v1,v2)
14. E(u1,v1)

E(u2,v2)

By:	(FwdThru 4 [10]) THEN (FwdThru 5 [15;14]) THEN (FwdThru 5 [16;13])

Generated subgoals:

None

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html