WhoCites Definitions mb structures Sections GenAutomata Doc

Who Cites select?
selectDef l[i] == hd(nth_tl(i;l))
Thm* A:Type, l:A List, n:. 0n n < ||l|| l[n] A
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
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)
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

Syntax:l[i] has structure: select(i; l)

About:
listnillist_indboolbfalsebtrue
ifthenelseintnatural_numbersubtractlessless_thantoken
recursive_def_noticeuniversememberimpliesall!abstraction

WhoCites Definitions mb structures Sections GenAutomata Doc