By Leon Henkin, J. Donald Monk, Alfred Tarski
Quantity II completes the outline of the most features of the speculation, masking illustration questions, version thought and selection difficulties for them, translations from good judgment to algebra and vice-versa, and relationships with different algebraic models of common sense.
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Extra info for Cylindric Algebras, Part II
94 are met, and hence is an isomorphism. 91(iii) ( f 0 6 ) * l f ~ G w s : ~ ,and the base of (foS)*X is X. Let W='x-fSv. If W = O we are finished, so assume that W # O . Note that W itself is the unit element of some Gws,. 6 (2) X>SB for some Gws, SB with unit element W. 26lii) to the full Gws, with unit element V and then restricting it to 21 we find that 2[>0for some WS, Q with base U. 102 we see that we may assume that the base of x) is X. Since WC'X is zero-dimensional, we get a Gws, SB with unit element W such that O>SB, as desired in (2); let g be a homomorphism from X onto 93.
Thus q c n Q . This completes the proof. 110 below ). Note that ICS, = I G w s T trivially if a