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Adam Panagos / Engineer / Lecturer

###### Mathematical Proofs: Family of Sets

###### Several additional examples involving families of sets and indexed families of sets are provided.

#### Family of Sets Proof Example 01

1/31/2014

Running Time: 7:41

This problem works with F, a family of sets. For an arbitrary element of F, which we call A, we show that A is a subset of UF, where UF is the union of all elements of F.

#### Family of Sets Proof Example 02

1/31/2014

Running Time: 4:13

This problem works with F, a family of sets. For an arbitrary element of F, which we call A, we show that IntF i a subset of A, where IntA is the intersection of all elements of F.

#### Family of Sets and Indexed Family of Sets

10/6/2013

Running Time: 5:16

A simple example that works with an indexed family of sets and associated notation.

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