40 "@Consq" ::"'a => 'a Seq => 'a Seq" ("(_\\<leadsto>_)" [66,65] 65) |
40 "@Consq" ::"'a => 'a Seq => 'a Seq" ("(_\\<leadsto>_)" [66,65] 65) |
41 |
41 |
42 |
42 |
43 translations |
43 translations |
44 |
44 |
45 "a>>s" == "Consq a`s" |
45 "a>>s" == "Consq a$s" |
46 "[x, xs!]" == "x>>[xs!]" |
46 "[x, xs!]" == "x>>[xs!]" |
47 "[x!]" == "x>>nil" |
47 "[x!]" == "x>>nil" |
48 "[x, xs?]" == "x>>[xs?]" |
48 "[x, xs?]" == "x>>[xs?]" |
49 "[x?]" == "x>>UU" |
49 "[x?]" == "x>>UU" |
50 |
50 |
51 defs |
51 defs |
52 |
52 |
53 |
53 |
54 Consq_def "Consq a == LAM s. Def a ## s" |
54 Consq_def "Consq a == LAM s. Def a ## s" |
55 |
55 |
56 Filter_def "Filter P == sfilter`(flift2 P)" |
56 Filter_def "Filter P == sfilter$(flift2 P)" |
57 |
57 |
58 Map_def "Map f == smap`(flift2 f)" |
58 Map_def "Map f == smap$(flift2 f)" |
59 |
59 |
60 Forall_def "Forall P == sforall (flift2 P)" |
60 Forall_def "Forall P == sforall (flift2 P)" |
61 |
61 |
62 Last_def "Last == slast" |
62 Last_def "Last == slast" |
63 |
63 |
64 Dropwhile_def "Dropwhile P == sdropwhile`(flift2 P)" |
64 Dropwhile_def "Dropwhile P == sdropwhile$(flift2 P)" |
65 |
65 |
66 Takewhile_def "Takewhile P == stakewhile`(flift2 P)" |
66 Takewhile_def "Takewhile P == stakewhile$(flift2 P)" |
67 |
67 |
68 Flat_def "Flat == sflat" |
68 Flat_def "Flat == sflat" |
69 |
69 |
70 Zip_def |
70 Zip_def |
71 "Zip == (fix`(LAM h t1 t2. case t1 of |
71 "Zip == (fix$(LAM h t1 t2. case t1 of |
72 nil => nil |
72 nil => nil |
73 | x##xs => (case t2 of |
73 | x##xs => (case t2 of |
74 nil => UU |
74 nil => UU |
75 | y##ys => (case x of |
75 | y##ys => (case x of |
76 Undef => UU |
76 Undef => UU |
77 | Def a => (case y of |
77 | Def a => (case y of |
78 Undef => UU |
78 Undef => UU |
79 | Def b => Def (a,b)##(h`xs`ys))))))" |
79 | Def b => Def (a,b)##(h$xs$ys))))))" |
80 |
80 |
81 Filter2_def "Filter2 P == (fix`(LAM h t. case t of |
81 Filter2_def "Filter2 P == (fix$(LAM h t. case t of |
82 nil => nil |
82 nil => nil |
83 | x##xs => (case x of Undef => UU | Def y => (if P y |
83 | x##xs => (case x of Undef => UU | Def y => (if P y |
84 then x##(h`xs) |
84 then x##(h$xs) |
85 else h`xs))))" |
85 else h$xs))))" |
86 |
86 |
87 rules |
87 rules |
88 |
88 |
89 |
89 |
90 (* for test purposes should be deleted FIX !! *) |
90 (* for test purposes should be deleted FIX !! *) |