Nuprl - Proof: decidable quotient equal 1 1 1 2 1 1 1

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At: decidable quotient equal 1 1 1 2 1 1 1

1. T : Type
2. E : T

Prop
3. EquivRel x,y:T. E(x,y)
4. f : T

x,y:T. (x f y)

E(x,y)
6. f

(x,y:T//E(x,y))

7. v1 : T
8. v2 : T
9. E(v1,v2)
10. u1 : T
11. u2 : T
12. E(u1,u2)

* = *

((u1 f v1)

u1 = v1

x,y:T//E(x,y))

By:

EqTypeD 0

Generated subgoal:

1 (u1 f v1) u1 = v1 x,y:T//E(x,y)
4 steps

About:

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