Nuprl - Proof: append split2 2 2

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At: append split2 2 2

1. T : Type
2. L : T List
3. P :

||L||

Prop
4.

x:

||L||. Dec(P(x))
5.

i,j:

||L||. P(i)

i<j

P(j)
6.

(

i:

||L||. P(i) & (

j:

i.

P(j)))
7. i :

||L||
8. P(i)

||L||

i

By:	Analyze -3 THEN Analyze -2 THEN IntInd -3 THEN Reduce 0

Generated subgoals:

1 6. 00
7. 0<||L||
8. P(0)
  i:||L||. P(i) & (j:i. P(j))
1 step

2 6. i :
7. 0<i
8. 0  i-1 < ||L||  P(i-1)  (i:||L||. P(i) & (j:i. P(j)))
9. 0i
10. i<||L||
11. P(i)
  i:||L||. P(i) & (j:i. P(j))
7 steps

About:

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

(20steps total) PrintForm Definitions Lemmas mb list 1 Sections MarkB generic Doc