Rank | Theorem | Name |
5 | Thm* f:(B A), x:B List, i,j: ||x||. map(f;swap(x;i;j)) = swap(map(f;x);i;j) | [map_swap] |
cites the following: |
3 | Thm* L:T List, i,j: ||L||. ||swap(L;i;j)|| = ||L||  | [swap_length] |
0 | Thm* f:(A B), as:A List. ||map(f;as)|| = ||as||  | [map_length] |
4 | Thm* L:T List, i,j,x: ||L||. swap(L;i;j)[x] = L[((i, j)(x))] | [swap_select] |
1 | Thm* f:(A B), as:A List, n: ||as||. map(f;as)[n] = f(as[n]) | [map_select] |
1 | Thm* a,b:T List. ||a|| = ||b||  ( i: . i<||a||  a[i] = b[i])  a = b | [list_extensionality] |