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

At: finite-partition 2 2 2 2
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
9. j: k
10. x:||p(j)||. (p(j))[x] < n-1 & c((p(j))[x]) = j
11. c(n-1) = j
x:||p(j)||. (p(j))[x] < n & c((p(j))[x]) = j
By:
Thin -1
THEN
RepeatFor 2 (ParallelOp -1)
Generated subgoals:

None

About:
listintnatural_numbersubtractless_thanapplyfunctionequalimpliesall

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