(26steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc

At: finite-partition 2 1 2 1

1. n:
2. 0 < n
3. k:
4. c: nk
5. p: k( List)
6. sum(||p(j)|| | j < k) = n-1
7. j:k, x,y:||p(j)||. x < y (p(j))[x] > (p(j))[y]
8. j:k, x:||p(j)||. (p(j))[x] < n-1 & c((p(j))[x]) = j
n-1+sum(if c(n-1)=j 1 else 0 fi | j < k) = n

By: Assert (sum(if c(n-1)=j 1 else 0 fi | j < k) = 1)

Generated subgoals:

1 sum(if c(n-1)=j 1 else 0 fi | j < k) = 13 steps
 
29. sum(if c(n-1)=j 1 else 0 fi | j < k) = 1
n-1+sum(if c(n-1)=j 1 else 0 fi | j < k) = n
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(26steps total) PrintForm Definitions Lemmas graph 1 2 Sections Graphs Doc