WhoCites Definitions list 3 jlc Sections Support(jlc) Doc

Who Cites is intersection?
is_intersectionDef L(eq)M == xL.x(eq) M
Thm* T:Type, eq:{T}, L,M:T List. L(eq)M Type
is_member Def x(eq) L == (letrec is_member x eq L = (Case of L; nil false ; h.t if eq(x,h) true else is_member(x,eq,t) fi) ) (x,eq,L)
Thm* T:Type, eq:(TT), u:T. u(eq) nil
Thm* T:Type, eq:(TT), x:T, L:T List. x(eq) L
assert Def b == if b True else False fi
Thm* b:. b Prop
list_exists Def xL.P(x) == (letrec list_exists L = (Case of L; nil False ; h.t P(h) list_exists(t)) ) (L)
Thm* T:Type, P:(TProp), L:T List. xL.P(x) Type
letrec_body Def = b == b
letrec_arg Def x b(x) (x) == b(x)
letrec Def (letrec f b(f)) == b((letrec f b(f)) ) (recursive)

Syntax:L(eq)M has structure: is_intersection(eq; L; M)

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listnillist_indboolbfalse
btrueifthenelseassertapplyfunctionrecursive_def_notice
universememberproporfalsetrueall!abstraction

WhoCites Definitions list 3 jlc Sections Support(jlc) Doc