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E. consider = pos(Pl,k)= (k,P2,P2,Pl) ÷ Pl where 71 . 2 ® r 2 / fig. (2328) / / / 59 (STEP3) We may take the s u b s t i t u t i o n Pl for granted. ). there exists Hence by some a substitution s 2 6 P2" an r 2 6 B R such and all bodies of this that set have the same = BIC(P2,k). def by c o n s t r u c t i o n , C(r2,1) = eC(P2,k) and ~, as a the properties (2214) (ii) c), d), for a s u b s t i t u t i o n . Let m 6 C(P2,k) to ~I ~ Pl and be a c c o m p l i s h e d (l,BP2,rl,s 2) + r 2, w h e r e as in ~2" We set ~ are r e q u i r e d w~r.

In the theory the transportability (2216) After BI ~ C < B2 > A2 may be represented This there exist regions The following bodies s I, for i=I,2, + qi" Then pos(ql,k2) = pos(q2,k2) . (kl,Sl,hl,P) implies (kl,s2,hl,p) ÷ q1' (2312) (ii) implies (kl,S2,h2,P) ÷ q1" (kl,s2,h2,P) ÷ q2" = pos(p,k I) = pos(q2,kl). hence pos(ql;k2) (2317) m,n 6 B Let k i ~ (i=I,2) Now axiom B2 (2213) yields = pos(q2,k2) . h £ B m, 1 6 B n pos(h,k i) = pos(l,ki), (kl,m,h, p) ÷ q, follows = pos(r,k2). that pos(q,k2) h i 6 Bs.

The sequence appropriate of regions by some sequence (~i,ki) ~- (B1,b I) -~ (y,c) ~ is the required The crucial point transportability Lemma: Proof: 5-chain. of cyclic of transport chains. of cyclic Consider (k1'si'hi'P) of positions (B2,b 2) -~ (~2,k2). in the theory the transportability (2216) After BI ~ C < B2 > A2 may be represented This there exist regions The following bodies s I, for i=I,2, + qi" Then pos(ql,k2) = pos(q2,k2) . (kl,Sl,hl,P) implies (kl,s2,hl,p) ÷ q1' (2312) (ii) implies (kl,S2,h2,P) ÷ q1" (kl,s2,h2,P) ÷ q2" = pos(p,k I) = pos(q2,kl).