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f(x) and g(x) are arbitrary WFFs having free variables x and y. Explain that each of the following is valid. a. EXISTS x ( IF
f(x) and g(x) are arbitrary WFFs having free variables x and y. Explain that each of the following is valid.
a. EXISTS x ( IF f(x) THEN g(x) ) = IF FORALL x ( f(x) ) THEN EXISTS x ( g(x) ) b. EXISTS x ( f(x) ) AND EXISTS y ( g(y) ) = EXISTS x EXISTS y ( f(x) AND g(y) )
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