Nuprl - Proof: card split decbl 1 1 1 1 1 1

(7steps total) PrintForm Definitions Lemmas DiscreteMath Sections DiscrMathExt Doc

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At: card split decbl 1 1 1 1 1 1

1. A : Type
2. P : A

Prop
3.

x:A.

!i:

2. if i=

0

P(x) else

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

2

{x:A| if i=

0

P(x) else

P(x) fi })
5. i :

2

{x:A| if i=

0

P(x) else

P(x) fi }

~

if i=

0

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

P(x) } fi

By:	Rewrite by Thm* {x:A\| if b P(x) else Q(x) fi } ~ if b {x:A\| P(x) } else {x:A\| Q(x) } fi

Generated subgoals:

None

About:

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

(7steps total) PrintForm Definitions Lemmas DiscreteMath Sections DiscrMathExt Doc