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

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At: decidable quotient equal 1 1 1 1 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. u1 : T
7. u2 : T
8. E(u1,u2)
9. v : x,y:T//E(x,y)

f(u1,v) = f(u2,v)

By:

Analyze 9

Generated subgoal:

1 9. v1 : T
10. v2 : T
11. E(v1,v2)
f(u1,v1) = f(u2,v2)
5 steps

About:

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