| Who Cites p array? |
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p_array | Def [T]Array{i..j } == {a:[T]Array | a.l = i & a.u = j } |
| | Thm* T:Type{i}, i: , j:{i...}. [T]Array{i..j } Type{[i']} |
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array_ub | Def a.u == 1of(2of(a)) |
| | Thm* T:Type, a:[T]Array . a.u  |
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array_lb | Def a.l == 1of(a) |
| | Thm* T:Type, a:[T]Array . a.l  |
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array | Def [T]Array == n: m:{n...} {n..m } T |
| | Thm* T:Type{i}. [T]Array Type{[i']} |
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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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pi1 | Def 1of(t) == t.1 |
| | Thm* A:Type, B:(A Type), p:(a:A B(a)). 1of(p) A |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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int_upper | Def {i...} == {j: | i j } |
| | Thm* n: . {n...} Type |
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lelt | Def i j < k == i j & j<k |
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le | Def A B == B<A |
| | Thm* i,j: . (i j) Prop |
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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |