Logic and Set Theory

:- :- :- :- :- :- :- :-
KaTeX:\forall \forall KaTeX:\complement \complement KaTeX:\therefore \therefore KaTeX:\emptyset \emptyset
KaTeX:\exists \exists KaTeX:\subset \subset KaTeX:\because \because KaTeX:\empty \empty
KaTeX:\exist \exist KaTeX:\supset \supset KaTeX:\mapsto \mapsto KaTeX:\varnothing \varnothing
KaTeX:\nexists \nexists KaTeX:\mid \mid KaTeX:\to \to KaTeX:\implies \implies
KaTeX:\in \in KaTeX:\land \land KaTeX:\gets \gets KaTeX:\impliedby \impliedby
KaTeX:\isin \isin KaTeX:\lor \lor KaTeX:\leftrightarrow \leftrightarrow KaTeX:\iff \iff

| KaTeX:\notin | \notin | KaTeX:\ni | \ni | KaTeX:\notni | \notni | KaTeX:\neg KaTeX:\lnot | \neg or \lnot |

:- :- :- :-
KaTeX:\Set{ x | x<\frac 1 2 } \Set{ x x<\frac 1 2 } KaTeX:\set{x|x<5}
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