mb list 2 Sections MarkB generic Doc
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Def Bij(A; B; f) == Inj(A; B; f) & Surj(A; B; f)

is mentioned by

Thm* n,m:, f:(nm), p:(nn), q:(mm).
Thm* Bij(n; n; p)
Thm* 
Thm* Bij(m; m; q)
Thm* 
Thm* sum(f(p(x),q(y)) | x < n; y < m) = sum(f(x,y) | x < n; y < m)
[permute_double_sum]
Thm* n:, f:(n), p:(nn).
Thm* Bij(n; n; p)  sum(f(p(x)) | x < n) = sum(f(x) | x < n)
[permute_sum]
Thm* k:, p:(kk). Bij(k; k; p)  (L:(k-1) List. p = compose_flips(L))[permute_by_flips]
Thm* f,g:(TT). Bij(T; T; f)  Bij(T; T; g)  Bij(T; T; f o g)[compose_bij]

In prior sections: fun 1 mb nat

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mb list 2 Sections MarkB generic Doc