Entry Value
Package Name list-set-def
Count 9
Theorems
  • ALL_CONS : !p h t. ALL p (CONS h t) <=> p h /\ ALL p t
  • ALL_NIL : !p. ALL p []
  • EX_CONS : !p h t. EX p (CONS h t) <=> p h \/ EX p t
  • EX_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 s
  • MEM_CONS : !x h t. MEM x (CONS h t) <=> x = h \/ MEM x t
  • MEM_NIL : !x. ~MEM x []
  • set_of_list_cons : !h t. set_of_list (CONS h t) = h INSERT set_of_list t
  • set_of_list_nil : set_of_list [] = {}
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