MaPhy-Ü1

MaPhy-Ü1 - Aufgabe 1 Beh.: A\(B C ) = (A\B )...

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Beh.: A \ ( B C ) = ( A \ B ) ( A \ C ) Bew.: Sei x A \ ( B C ) x A x / B C x A x / B | {z } x / C x A B x A \ C x ( A \ B ) ( A \ C ) A \ ( B C ) ( A \ B ) ( A \ C ) Sei x ( A \ B ) ( A \ C ) ( x A x / B ) ( x A x / C ) x A x / ( B C ) x A \ ( B C ) A \ ( B C ) ( A \ B ) ( A \ C ) q.e.d. Beh.: A \ ( B \ C ) = ( A \ B ) ( A C ) Bew.: Sei x A \ ( B \ C ) x A x / ( B \ C ) = B C C x A ( x / B x C ) ( x A x / B ) ( x A x C ) x ( A \ B ) x ( A C ) x ( A \ B ) ( A C ) A \ ( B \ C ) ( A \ B ) ( A C ) Sei x ( A \ B ) ( A C ) ( x A x / B ) ( x A x C ) x A ( x / B x C ) x A x /
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MaPhy-Ü1 - Aufgabe 1 Beh.: A\(B C ) = (A\B )...

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