| Who Cites tagged event str? |
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tagged_event_str | Def TaggedEventStruct == E:Type M:MessageStruct (E |M|) (E Label) (E  ) (E Label) Top |
| | Thm* TaggedEventStruct Type{i'} |
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message_str |
Def MessageStruct == M:Type C:DecidableEquiv (M |C|) (M Label) (M  ) Top |
| | Thm* MessageStruct Type{i'} |
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dequiv |
Def DecidableEquiv == T:Type E:T T   EquivRel(T)( (_1 E _2)) Top |
| | Thm* DecidableEquiv Type{i'} |
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top |
Def Top == Void given Void |
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Thm* Top Type |
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lbl |
Def Label == {p:Pattern| ground_ptn(p) } |
| | Thm* Label Type |
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carrier |
Def |S| == 1of(S) |
| | Thm* S:Structure. |S| Type |
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ground_ptn |
Def ground_ptn(p)
== Case(p)
Case ptn_var(v) = >
false
Case ptn_pr( < x, y > ) = >
ground_ptn(x) ground_ptn(y)
Default = > true
(recursive) |
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Thm* p:Pattern. ground_ptn(p)  |
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assert |
Def b == if b True else False fi |
| | Thm* b: . b Prop |
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ptn |
Def Pattern == rec(T.ptn_con(T)) |
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Thm* Pattern Type |
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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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case_default |
Def Default = > body(value,value) == body |
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band |
Def p q == if p q else false fi |
| | Thm* p,q: . (p q)  |
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case_lbl_pair |
Def Case ptn_pr( < x, y > ) = > body(x;y) cont(x1,z)
== InjCase(x1; _. cont(z,z); x2.
InjCase(x2; _. cont(z,z); x2@0. InjCase(x2@0; _. cont(z,z); x2@1. x2@1/x3,x2@2. body(x3;x2@2)))) |
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case_ptn_var |
Def Case ptn_var(x) = > body(x) cont(x1,z)
== ( x1.inr(x2) = >
( x1.inr(x2) = >
( x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)])
cont
(hd(x1)
,z))
([x2 / tl(x1)])
cont
(hd(x1)
,z))
([x1]) |
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case |
Def Case(value) body == body(value,value) |
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ptn_con |
Def ptn_con(T) == Atom+ +Atom+(T T) |
| | Thm* T:Type. ptn_con(T) Type |
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equiv_rel |
Def EquivRel x,y:T. E(x;y)
== Refl(T;x,y.E(x;y)) & Sym x,y:T. E(x;y) & Trans x,y:T. E(x;y) |
| | Thm* T:Type, E:(T T Prop). (EquivRel x,y:T. E(x,y)) Prop |
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hd |
Def hd(l) == Case of l; nil "?" ; h.t h |
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Thm* A:Type, l:A List. ||l|| 1  hd(l) A |
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Thm* A:Type, l:A List . hd(l) A |
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tl |
Def tl(l) == Case of l; nil nil ; h.t t |
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Thm* A:Type, l:A List. tl(l) A List |
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case_inl |
Def inl(x) = > body(x) cont(value,contvalue)
== InjCase(value; x. body(x); _. cont(contvalue,contvalue)) |
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case_inr |
Def inr(x) = > body(x) cont(value,contvalue)
== InjCase(value; _. cont(contvalue,contvalue); x. body(x)) |
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trans |
Def Trans x,y:T. E(x;y) == a,b,c:T. E(a;b)  E(b;c)  E(a;c) |
| | Thm* T:Type, E:(T T Prop). Trans x,y:T. E(x,y) Prop |
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sym |
Def Sym x,y:T. E(x;y) == a,b:T. E(a;b)  E(b;a) |
| | Thm* T:Type, E:(T T Prop). Sym x,y:T. E(x,y) Prop |
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refl |
Def Refl(T;x,y.E(x;y)) == a:T. E(a;a) |
| | Thm* T:Type, E:(T T Prop). Refl(T;x,y.E(x,y)) Prop |