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At: permute by flips 2 2

1. k : 
2. 0<k
3. p:((k-1)(k-1)). 
3. Bij((k-1); (k-1); p)  (L:(k-1-1) List. p = compose_flips(L))
4. p : kk
5. Bij(k; k; p)
6. x:k. p(x) = k-1
  L:(k-1) List. p = compose_flips(L)


By: ExRepD
THEN
AssertBY Bij(k; k; p o (k-1, x))
(BackThru Thm* f,g:(TT). Bij(T; T; f)  Bij(T; T; g)  Bij(T; T; f o g)
(THEN
(BackThru Thm* k:, i,j:k. Bij(k; k; (i, j)))


Generated subgoal:

1 6. x : k
7. p(x) = k-1
8. Bij(k; k; p o (k-1, x))
  L:(k-1) List. p = compose_flips(L)

23 steps

About:
listintnatural_numbersubtractless_thanapplyfunction
universeequalimpliesallexists
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(31steps total) PrintForm Definitions Lemmas mb list 2 Sections MarkB generic Doc