Nuprl - Proof: decidable quotient equal 1

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At: decidable quotient equal 1

1. T : Type
2. E : T

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

x,y:T. Dec(E(x,y))

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

By:	OnMCls [0;4] (RWO (Thm* E:(TTProp). (Thm* (x,y:T. Dec(E(x,y))) (f:(TT). x,y:T. (x f y) E(x,y)))

Generated subgoal:

1 4. f:(TT). 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
19 steps

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