Nuprl - Proof: eq rat trans 1 1 1 1 1 1 1

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At: eq rat trans 1 1 1 1 1 1 1

1. x1 :

2. x2 :

3. y1 :

4. y2 :

5. z1 :

6. z2 :

7. x1

y2 = y1

x2
8. y1

z2 = z1

y2
9. x1

z2 = y1

z2 = z1

By:	Decide (y1 = 0)

Generated subgoals:

1 10. y1 = 0
x1z2 = z1x2
6 steps

2 10. y1 = 0
x1z2 = z1x2
3 steps

About:

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1	10. y1 = 0 x1z2 = z1x2	6 steps
2	10. y1 = 0 x1z2 = z1x2	3 steps