Nuprl - Proof: card split decbl 1 1 1 1

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At: card split decbl 1 1 1 1

1. A : Type
2. P : A

Prop
3.

x:A.

!i:

2. if i=

P(x) else

P(x) fi
4. A ~ (i:

{x:A| if i=

P(x) else

P(x) fi })

A ~ (i:

if i=

{x:A| P(x) } else {x:A|

P(x) } fi)

By:	Rewrite by Hyp:-1

Generated subgoal:

1   (i:2{x:A| if i=0 P(x) else P(x) fi })
  ~
  (i:2if i=0 {x:A| P(x) } else {x:A| P(x) } fi)
2 steps

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html