Who Cites col list prod? | |
col_list_prod | Def col_list_prod(l)(x) == ||x|| = ||l|| & (i:. i < ||x|| x[i] l[i]) |
Thm* T:Type, l:Collection(T) List. col_list_prod(l) Collection(T List) | |
select | Def l[i] == hd(nth_tl(i;l)) |
Thm* A:Type, l:A List, n:. 0n n < ||l|| l[n] A | |
col_member | Def x c == c(x) |
Thm* T:Type, x:T, c:Collection(T). x c Prop | |
length | Def ||as|| == Case of as; nil 0 ; a.as' ||as'||+1 (recursive) |
Thm* A:Type, l:A List. ||l|| | |
Thm* ||nil|| | |
nat | Def == {i:| 0i } |
Thm* Type | |
nth_tl | Def nth_tl(n;as) == if n0 as else nth_tl(n-1;tl(as)) fi (recursive) |
Thm* A:Type, as:A List, i:. nth_tl(i;as) A List | |
hd | Def hd(l) == Case of l; nil "?" ; h.t h |
Thm* A:Type, l:A List. ||l||1 hd(l) A | |
Thm* A:Type, l:A List. hd(l) A | |
le | Def AB == B < A |
Thm* i,j:. (ij) Prop | |
tl | Def tl(l) == Case of l; nil nil ; h.t t |
Thm* A:Type, l:A List. tl(l) A List | |
le_int | Def ij == j < i |
Thm* i,j:. (ij) | |
not | Def A == A False |
Thm* A:Prop. (A) Prop | |
lt_int | Def i < j == if i < j true ; false fi |
Thm* i,j:. (i < j) | |
bnot | Def b == if b false else true fi |
Thm* b:. b |
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