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Let set A is subset of set $\{{1,2,3,...,100}\}$ which has $55$ different elements.
Let set $A \subset\{{1,2,3,...,100}\}$ with $55$ distinct elements.
Prove that there exist two elements in $A$ which have a difference of 10.
I understand that the common thing is that we take more ...
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Natural numbers as a subset of integer numbers: $\mathbb{N}\subset\mathbb{Z}$.
Within set theory, having the natural numbers $\mathbb{N}$ built as the minimal inductive set with the corresponding additive and multiplicative operations defined, integers $\mathbb{Z}$ can be set as ...
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