WebProof: • Recall the definition of a subset: all elements of a set A must be also elements of B: x (x A x B). • We must show the following implication holds for any S x (x x S) • Since the empty set does not contain any element, x is always False • Then the implication is always True. End of proof Web1 Statements and logical operations In mathematics, we study statements, sentences that are either true or false but not both. For example, 6 is an even integer and 4 is an odd …
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