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

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At: decidable quotient equal 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. u : x,y:T//E(x,y)

f(u)

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

By:

Analyze 6

Generated subgoal:

1 6. u1 : T
7. u2 : T
8. E(u1,u2)
f(u1) = f(u2) (x,y:T//E(x,y))
7 steps

About:

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