lem 2022-12-10 · OCaml Package

type 'a set

val empty : ('a -> 'a -> int) -> 'a set

val is_empty : 'a set -> bool

val from_list : ('a -> 'a -> int) -> 'a list -> 'a set

val mem : 'a -> 'a set -> bool

val add : 'a -> 'a set -> 'a set

val singleton : ('a -> 'a -> int) -> 'a -> 'a set

val remove : 'a -> 'a set -> 'a set

val union : 'a set -> 'a set -> 'a set

val inter : 'a set -> 'a set -> 'a set

val diff : 'a set -> 'a set -> 'a set

val compare : 'a set -> 'a set -> int

val equal : 'a set -> 'a set -> bool

val subset : 'a set -> 'a set -> bool

val subset_proper : 'a set -> 'a set -> bool

val iter : ('a -> unit) -> 'a set -> unit

val fold : ('a -> 'b -> 'b) -> 'a set -> 'b -> 'b

val map : ('b -> 'b -> int) -> ('a -> 'b) -> 'a set -> 'b set

val map_union : ('b -> 'b -> int) -> ('a -> 'b set) -> 'a set -> 'b set

val for_all : ('a -> bool) -> 'a set -> bool

val exists : ('a -> bool) -> 'a set -> bool

val filter : ('a -> bool) -> 'a set -> 'a set

val partition : ('a -> bool) -> 'a set -> 'a set * 'a set

val cardinal : 'a set -> int

val elements : 'a set -> 'a list

val min_elt : 'a set -> 'a

val max_elt : 'a set -> 'a

val min_elt_opt : 'a set -> 'a option

val max_elt_opt : 'a set -> 'a option

val choose : 'a set -> 'a

val set_case : 'a set -> 'b -> ('a -> 'b) -> 'b -> 'b

val choose_and_split : 'a set -> ('a set * 'a * 'a set) option

val split : 'a -> 'a set -> 'a set * bool * 'a set

val comprehension1 : 
  ('b -> 'b -> int) ->
  ('a -> 'b) ->
  ('a -> bool) ->
  'a set ->
  'b set

val comprehension2 : 
  ('c -> 'c -> int) ->
  ('a -> 'b -> 'c) ->
  ('a -> 'b -> bool) ->
  'a set ->
  'b set ->
  'c set

val comprehension3 : 
  ('d -> 'd -> int) ->
  ('a -> 'b -> 'c -> 'd) ->
  ('a -> 'b -> 'c -> bool) ->
  'a set ->
  'b set ->
  'c set ->
  'd set

val comprehension4 : 
  ('e -> 'e -> int) ->
  ('a -> 'b -> 'c -> 'd -> 'e) ->
  ('a -> 'b -> 'c -> 'd -> bool) ->
  'a set ->
  'b set ->
  'c set ->
  'd set ->
  'e set

val comprehension5 : 
  ('f -> 'f -> int) ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'f) ->
  ('a -> 'b -> 'c -> 'd -> 'e -> bool) ->
  'a set ->
  'b set ->
  'c set ->
  'd set ->
  'e set ->
  'f set

val comprehension6 : 
  ('g -> 'g -> int) ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g) ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> bool) ->
  'a set ->
  'b set ->
  'c set ->
  'd set ->
  'e set ->
  'f set ->
  'g set

val comprehension7 : 
  ('h -> 'h -> int) ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> 'h) ->
  ('a -> 'b -> 'c -> 'd -> 'e -> 'f -> 'g -> bool) ->
  'a set ->
  'b set ->
  'c set ->
  'd set ->
  'e set ->
  'f set ->
  'g set ->
  'h set

val bigunion : ('a -> 'a -> int) -> 'a set set -> 'a set

val lfp : 'a set -> ('a set -> 'a set) -> 'a set

val tc : (('a * 'a) -> ('a * 'a) -> int) -> ('a * 'a) set -> ('a * 'a) set

val sigma : 
  (('a * 'b) -> ('a * 'b) -> int) ->
  'a set ->
  ('a -> 'b set) ->
  ('a * 'b) set

val cross : 
  (('a * 'b) -> ('a * 'b) -> int) ->
  'a set ->
  'b set ->
  ('a * 'b) set

val get_elem_compare : 'a set -> 'a -> 'a -> int

val compare_by : ('a -> 'a -> int) -> 'a set -> 'a set -> int

package lem