Nuprl - Proof: dec iff ex bvfun 1 1 1

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At: dec iff ex bvfun 1 1 1

1. T : Type
2. E : T

Prop
3. g :

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

E(x,y)
4. x : T
5. y : T

InjCase(g(x,y); a. true

; b. false

)

E(x,y)

By:	Witness3 x

Generated subgoal:

1 3. g : x:Ty:T. E(x,y)  E(x,y)
4. x : T
5. y : T
6. y1 : y:T. E(x,y)  E(x,y)
7. y1 = g(x)
  InjCase(g(x,y); a. true; b. false)  E(x,y)
10 steps

About:

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