| Who Cites w-V? |
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w-V | Def V(i;k) == kindcase(k;a.1of(2of(w))(i,a);l,tg.1of(2of(2of(w)))(l,tg)) |
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kindcase | Def kindcase(k;a.f(a);l,t.g(l;t))
Def == if islocal(k) f(act(k)) else g(lnk(k);tag(k)) fi |
| | Thm* B:Type, k:Knd, f:(Id B), g:(IdLnk Id B).
Thm* kindcase(k;a.f(a);l,t.g(l,t)) B |
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tagof | Def tag(k) == 2of(outl(k)) |
| | Thm* k:Knd. isrcv(k)  tag(k) Id |
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pi2 | Def 2of(t) == t.2 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 2of(p) B(1of(p)) |
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lnk | Def lnk(k) == 1of(outl(k)) |
| | Thm* k:Knd. isrcv(k)  lnk(k) IdLnk |
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pi1 | Def 1of(t) == t.1 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 1of(p) A |
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actof | Def act(k) == outr(k) |
| | Thm* k:Knd. islocal(k)  act(k) Id |
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islocal | Def islocal(k) ==  isl(k) |
| | Thm* k:Knd. islocal(k)  |
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outl | Def outl(x) == InjCase(x; y. y; z. "???") |
| | Thm* A,B:Type, x:A+B. isl(x)  outl(x) A |
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outr | Def outr(x) == InjCase(x; y. "???"; z. z) |
| | Thm* A,B:Type, x:A+B.  isl(x)  outr(x) B |
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isl | Def isl(x) == InjCase(x; y. true ; z. false ) |
| | Thm* A,B:Type, x:A+B. isl(x)  |
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bnot | Def  b == if b false else true fi |
| | Thm* b: .  b  |