“CriterionForConsistencyOfSetsOfFormulas”的概念、定义、习题解题方法及翻译-数学辞典

单词	CriterionForConsistencyOfSetsOfFormulas
释义	criterion for consistency of sets of formulas Let $L$ be a first order language, and $\\Delta\\subseteq L$ be a set of sentences. Then $\\Delta$ is consistent if and only if every finite subset of $\\Delta$ is consistent.
随便看	ProofThatAllCyclicGroupsAreAbelian proof that all cyclic groups are abelian ProofThatAllCyclicGroupsOfTheSameOrderAreIsomorphicToEachOther proof that all cyclic groups of the same order are isomorphic to each other ProofThatAllPowersOf3ArePerfectTotientNumbers proof that all powers of 3 are perfect totient numbers ProofThatAllSubgroupsOfACyclicGroupAreCyclic proof that all subgroups of a cyclic group are cyclic ProofThatAMetricSpaceIsCompactIfAndOnlyIfItIsCompleteAndTotallyBounded proof that a metric space is compact if and only if it is complete and totally bounded ProofThatANoetherianDomainIsDedekindIfItIsLocallyAPID proof that a Noetherian domain is Dedekind if it is locally a PID ProofThatANontrivialNormalSubgroupOfAFinitePgroupGAndTheCenterOfGHaveNontrivialIntersection proof that a nontrivial normal subgroup of a finite p-group G and the center of G have nontrivial intersection ProofThatAPathConnectedSpaceIsConnected proof that a path connected space is connected ProofThatARelationIsUnionOfFunctionsIfAndOnlyIfAC proof that a relation is union of functions if and only if AC ProofThatAZeckendorfRepresentationRepresentsAUniquePositiveInteger proof that a Zeckendorf representation represents a unique positive integer ProofThatCcupAndCcapAreConsequenceOperators ProofThatCommutingMatricesAreSimultaneouslyTriangularizable proof that commuting matrices are simultaneously triangularizable ProofThatComponentsOfOpenSetsInALocallyConnectedSpaceAreOpen proof that components of open sets in a locally connected space are open

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

criterion for consistency of sets of formulas