| Who Cites tc1? |
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tc1 | Def tc1(r;de)
== Case(r.name)
Case eq(Q) = >
||r.args|| = 2
Case R = >
||de.rel(R)|| = ||r.args||
Default = > False |
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case_default |
Def Default = > body(value,value) == body |
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rel_args |
Def t.args == 2of(t) |
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length |
Def ||as|| == Case of as; nil 0 ; a.as' ||as'||+1 (recursive) |
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Thm* A:Type, l:A List. ||l||  |
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Thm* ||nil||  |
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sig_rel |
Def t.rel == 2of(t) |
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nat |
Def == {i: | 0 i } |
| | Thm* Type |
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case_relname_other |
Def Case x = > body(x) cont(x1,z)
== ( x1.inr(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x1]) |
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case_relname_eq |
Def Case eq(x) = > body(x) cont(x1,z)
== InjCase(x1; x2. body(x2); _. cont(z,z)) |
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rel_name |
Def t.name == 1of(t) |
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case |
Def Case(value) body == body(value,value) |
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pi2 |
Def 2of(t) == t.2 |
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Thm* A:Type, B:(A Type), p:(a:A B(a)). 2of(p) B(1of(p)) |
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le |
Def A B == B < A |
| | Thm* i,j: . (i j) 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_inr |
Def inr(x) = > body(x) cont(value,contvalue)
== InjCase(value; _. cont(contvalue,contvalue); x. body(x)) |
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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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not |
Def A == A  False |
| | Thm* A:Prop. ( A) Prop |