| 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:(AType), p:(a:AB(a)). 2of(p) B(1of(p)) |
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pi1 | Def 1of(t) == t.1 |
| | Thm* A:Type, B:(AType), p:(a:AB(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:| ij } |
| | Thm* n:. {n...} Type |
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lelt | Def i j < k == ij & j<k |
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le | Def AB == B<A |
| | Thm* i,j:. (ij) Prop |
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not | Def A == A False |
| | Thm* A:Prop. (A) Prop |