Nuprl - Proof: decidable quotient equal 1 1

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At: decidable quotient equal 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)

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

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

u,v:x,y:T//E(x,y). (u f v)

u = v

By:

Analyze 4

Generated subgoal:

1 4. f : TT
5. x,y:T. (x f y)  E(x,y)
  f:((x,y:T//E(x,y))(x,y:T//E(x,y))).
  u,v:x,y:T//E(x,y). (u f v)  u = v
18 steps

About:

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