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Show that A sub B then C- B sub C- A...

Show that `A sub B` then C- `B sub C- A `

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Let `A sub B`
We have to show that `C- B sub - A `
Let `x in C-B`
`rArr x in C and x notin B`
`rArr x in C and x notin A [therefore A sub B]`
`rArr x in C- A `
`therefore C- B sub C- A `
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