query: Prove that sum/multiplication of cardinals equals to max of cardinals
positive_passages.docid: 23141
positive_passages.text: How to prove that from "Every infinite cardinal satisfies $a^2=a$" we can prove that $b+c=bc$ for any two infinite cardinals $b,c$?
negative_passages.docid: 149673
negative_passages.text: Cardinality of an infinite union of finite sets
negative_passages.docid: 105768
negative_passages.text: Proof involving absolute value and maximums
negative_passages.docid: 18046
negative_passages.text: Prove the following equality: $\sum_{k=0}^n\binom {n-k }{k} = F_n$
negative_passages.docid: 3273
negative_passages.text: Trouble in proving that $\|x\|_p = \max|x_j|$
negative_passages.docid: 70164
negative_passages.text: Proof exercise that the cardinal number of a set in $\mathbb R^2$ is $\frak c$
negative_passages.docid: 93330
negative_passages.text: Cardinality of all cardinalities
negative_passages.docid: 139078
negative_passages.text: Infinite partition of $\mathbb N$ by infinite subsets
negative_passages.docid: 83518
negative_passages.text: Proving Two sets have same cardinality
negative_passages.docid: 104527
negative_passages.text: Prove that there are two subsets of any cardinality-10 subsets of $\{1,2\dots,106\}$ that sum to the same number
negative_passages.docid: 103347
negative_passages.text: combinatorial proof of summation
negative_passages.docid: 98163
negative_passages.text: Question regarding exponentiation of cardinal numbers
negative_passages.docid: 9158
negative_passages.text: Proving that a propositional theory of any cardinality has an independent set of axioms
negative_passages.docid: 140662
negative_passages.text: Powers of infinite cardinals in the generic extension
negative_passages.docid: 156783
negative_passages.text: $\mathbb R$ has the same cardinality of any interval
negative_passages.docid: 105985
negative_passages.text: Prove that all even integers $n \neq 2^k$ are expressible as a sum of consecutive positive integers
negative_passages.docid: 12436
negative_passages.text: The cardinality of the set of all finite subsets of an infinite set