query: How do i prove that a subset of a finite subset is finite?
positive_passages.docid: 147013
positive_passages.text: Subset of a finite set is finite
negative_passages.docid: 2287
negative_passages.text: If a set is linearly independent, a finite subset of that set is also linearly independent
negative_passages.docid: 106455
negative_passages.text: intersection of infinite collection of finite sets?
negative_passages.docid: 13415
negative_passages.text: How to show if $A \subseteq B$, then $A \cap B = A$?
negative_passages.docid: 151852
negative_passages.text: How to prove $A \subset B \iff A \cup B = B$
negative_passages.docid: 122828
negative_passages.text: Proof that TREE(n) where n >= 3 is finite?
negative_passages.docid: 149673
negative_passages.text: Cardinality of an infinite union of finite sets
negative_passages.docid: 12436
negative_passages.text: The cardinality of the set of all finite subsets of an infinite set
negative_passages.docid: 32441
negative_passages.text: How to prove or disprove statements about sets
negative_passages.docid: 44974
negative_passages.text: Infinite set and countable subsets
negative_passages.docid: 134914
negative_passages.text: Let $A,B$ and $U$ be sets so that $A\subseteq U$ and $B\subseteq U$. Prove that $A\subseteq B$ iff $(U\setminus B)\subseteq(U\setminus A)$.
negative_passages.docid: 45792
negative_passages.text: Rigorous proof that surjectivity implies injectivity for finite sets
negative_passages.docid: 33157
negative_passages.text: Proof that an infinite subset of $\mathbb{N}$ is countable
negative_passages.docid: 32795
negative_passages.text: Proving $ \bigcup_{i=1}^n A_{i} \text{ is finite.} $ by Induction.
negative_passages.docid: 41661
negative_passages.text: Show that the set of all finite subsets of $\mathbb{N}$ is countable.
negative_passages.docid: 56399
negative_passages.text: Proof for $A \cup B = B$ if and only if $A \subset B$
negative_passages.docid: 28391
negative_passages.text: Prove the compactness of a set B