I want to prove the following $ S \circ R $ is symetric, A,B,
C are sets
- $R \subseteq A\times B$ is Symetric
- $S\subseteq B\times C$ is Symetric
Any Suggestions? Thanks!
I want to prove the following $ S \circ R $ is symetric, A,B,
C are sets
Any Suggestions? Thanks!
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Take $$R=\{(1,2),(2,1),(3,4),(4,3),(4,0),(0,4)\}\\ S=\{(3,2),(2,3),(3,0),(0,3),(1,4),(4,1)\}$$ so $$S\circ R=\{(1,3),(2,4),(3,1),(4,3),(4,2),(0,1)\}$$