Nuprl - Proof: dec iff ex bvfun 1 1 1 1 1 2 1

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At: dec iff ex bvfun 1 1 1 1 1 2 1

1. T : Type
2. E : T

T

Prop
3. g : x:T

y: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)
8. y3 :

E(x,y)
9. inr(y3) = g(x,y)

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

; b. false

)

E(x,y)

By:	(RevHypSubst 9 0) THEN (Reduce 0)

Generated subgoal:

1 False E(x,y)
2 steps

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