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Mathematics
Mathematics
Problem
If A, B and C are sets, prove that a.
A
⊂
B
,
B
⊂
C
⇒
A
⊂
C
A \subset B, B \subset C \Rightarrow A \subset C
A
⊂
B
,
B
⊂
C
⇒
A
⊂
C
b.
A
⊂
∅
⇔
A
=
∅
A \subset \emptyset \Leftrightarrow A = \emptyset
A
⊂
∅
⇔
A
=
∅
.
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