The relationship between logical implication and the subset relation

From Maths
Revision as of 20:59, 12 May 2016 by Alec (Talk | contribs) (Alec moved page Implies and subset relation to The relationship between logical implication and the subset relation: "implied and subset relation" is a syntax-error of a name.)

Jump to: navigation, search

Definition

AB (and we say "A is a subset of B") if and only if every element of A also belongs to B

That is: [AB][xAxB][1]


References

  1. Jump up Definition 3.10 (p10) - Introduction to Set Theory, Third Edition (Revised and Expanded) - Karel Hrbacek and Thomas Jech