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-- Mathematics - Section B1
Relations and Functions
a
b
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d
for $L_1∈L$ $L_1||L_2$ ⇒ (reflexive)
for $(L_1,L_2)∈R$
$L_1||L_2⇒L_2||L_1⇒(L_2,L_1)∈R$ (Symmetric)
for $(L_1,L_2)∈R,(L_2,L_3)∈R$
$L_1||L_2,L_2||L_3⇒L_1||L_3⇒(L_1,L_3)∈R$ (Transitive)
⇒ equivalence relation