Is "The empty set is a subset of any set" a convention?
I have slow internet connection and math expressions sometimes does not work.
This is how it should look like ("page" reload helped)
Text sample:
$\varnothing\subset A$ means "for every object of $x$, if $x$ belongs to the empty set, then $x$ also belongs to the set A". This is a vacuous truth, because the antecedent($x$ belongs to the empty set) could never be true, so the conclusion always holds($x$ also belongs to the set A). So $\varnothing\subset A$ holds.
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- Device: iPhone 6s
- OS Version: Version 10.0.2 (Build 14A456)