Theorems |
ALL_CONS : !p h t. ALL p (CONS h t) <=> p h /\ ALL p tALL_NIL : !p. ALL p []EX_CONS : !p h t. EX p (CONS h t) <=> p h \/ EX p tEX_NIL : !p. ~EX p []LIST_OF_SET_PROPERTIES : !s. FINITE s
==> set_of_list (list_of_set s) = s /\ LENGTH (list_of_set s) = CARD sMEM_CONS : !x h t. MEM x (CONS h t) <=> x = h \/ MEM x tMEM_NIL : !x. ~MEM x []set_of_list_cons : !h t. set_of_list (CONS h t) = h INSERT set_of_list tset_of_list_nil : set_of_list [] = {} |