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Def x:AB(x) == x:AB(x)

is mentioned by

Thm* k:P:(k).
Thm* ((i:kP(i))  0<search(k;P))
Thm* & (0<search(k;P P(search(k;P)-1) & (j:kj<search(k;P)-1  P(j)))
[search_property]
Thm* f:(TT), m:(T).
Thm* (x:Tm(f(x))m(x) & (m(f(x)) = m(x f(x) = x))
Thm* 
Thm* (x:Tn:f(f^n(x)) = f^n(x))
[iteration_terminates]
Thm* n,k:c:(nk).
Thm* p:(k( List)). 
Thm* sum(||p(j)|| | j < k) = n
Thm* & (j:kx,y:||p(j)||. x<y  (p(j))[x]>(p(j))[y])
Thm* & (j:kx:||p(j)||. (p(j))[x]<n & c((p(j))[x]) = j)
[finite-partition]
Thm* m:P:(mProp).
Thm* (i:m. Dec(P(i)))
Thm* 
Thm* (n,k:f:(nm), g:(km).
Thm* (increasing(f;n)
Thm* (& increasing(g;k)
Thm* (& (i:nP(f(i)))
Thm* (& (j:kP(g(j)))
Thm* (& (i:m. (j:ni = f(j))  (j:ki = g(j))))
[increasing_split]
Thm* m,n,k:f:(nm), g:(km).
Thm* increasing(f;n)
Thm* 
Thm* increasing(g;k)
Thm* 
Thm* (i:m. (j:ni = f(j))  (j:ki = g(j)))
Thm* 
Thm* (j1:nj2:kf(j1) = g(j2))  m = n+k  
[disjoint_increasing_onto]
Thm* k,m:. (f:(km). Inj(kmf))  km[injection_le]
Thm* k,m:. (f:(km). increasing(f;k))  km[increasing_le]
Def (R^*)(x,y) == n:x R^n y[rel_star]
Def R^n == if n=0 x,yx = y  T else x,yz:T. (x R z) & (z R^n-1 y) fi
Def (recursive)
[rel_exp]

In prior sections: core fun 1 int 2

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mb nat Sections MarkB generic Doc