| Rank | Theorem | Name |
| 4 | Thm* es:ES, e,e',ev:E. (ev [e, e'])  e ev & ev e' | [member-es-interval] |
| cites the following: |
| 0 | Thm* es:ES, e,e':E. es-ble{i:l}(es;e;e')  e e' | [assert-es-ble] |
| 0 | Thm* x:T. (x nil)  False | [nil_member] |
| 1 | Thm* l:T List, a,x:T. (x [a / l])  x = a (x l) | [cons_member] |
| 3 | Thm* the_es:ES, e',e:E. (e before(e'))  (e <loc e') | [member-es-before] |
| 2 | Thm* x:T, l1,l2:T List. (x l1 @ l2)  (x l1) (x l2) | [member_append] |
| 2 | Thm* P:(T  ), L:T List, x:T. (x filter(P;L))  (x L) & P(x) | [member_filter] |