According to Zeroth law of thermodynamics, if two systems A and B are separately in equilibrium with C, then
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A
According to Zeroth law of thermodynamics, two systems in thermal equilibrium with a third system separately are in thermal equilibrium with each other. So, if
and
are separately in equilibrium with
, then
and
. This implies that
, i.e. the systems
and
are also in thermal equilibrium.
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