Great poverty is upsetting and I prove it (11)

I believe the answer is:

deprivation

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'great poverty' is the definition.
'deprivation' can be an answer for 'poverty' (deprivation is a kind of poverty). I'm not sure about the 'great' bit.

'upsetting and i prove it' is the wordplay.
'upsetting' indicates anagramming the letters.
'and'+'i'+'prove'+'it'='andiproveit'
'andiproveit' is an anagram of 'DEPRIVATION'.

'is' is the link.

Can you help me to learn more?

(Another definition for deprivation that I've seen is " Severe lack of essentials".)

I've seen this clue in The Irish Independent.

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