Rank | Theorem | Name |
4 | Thm* L1,L2:T List, P:(T![](FONT/dash.png) ![](FONT/then_med.png) ). L2 filter(P;L1) ![](FONT/if_big.png) L2 L1 & ( x L2.P(x)) | [sublist_filter] |
cites the following: |
3 | Thm* x:T, L:T List. [x / L] nil ![](FONT/if_big.png) False | [cons_sublist_nil] |
0 | Thm* L:T List. nil L ![](FONT/if_big.png) True | [nil_sublist] |
1 | Thm* x1,x2:T, L1,L2:T List.
Thm* [x1 / L1] [x2 / L2] ![](FONT/if_big.png) x1 = x2 & L1 L2 [x1 / L1] L2 | [cons_sublist_cons] |
2 | Thm* P:(T![](FONT/dash.png) Prop), x:T, L:T List. ( y [x / L].P(y)) ![](FONT/if_big.png) P(x) & ( y L.P(y)) | [l_all_cons] |