Prison supported by city with set of religious rules (5,3)

I believe the answer is:

canon law

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'set of religious rules' is the definition.
'canon law' can be an answer for 'rules' (I have seen 'Ecclesiastical rules ' mean 'canon law' so perhaps 'rules' could also mean 'canon law'). I am not certain of the 'set of religious' bit.

'prison supported by city with' is the wordplay.
'prison' becomes 'can' (the can is American slang for prison).
'supported by' becomes 'on' (something on something else is supported by it).
'city' becomes 'LA' (Los Angeles).
'with' becomes 'w' (abbreviation).
'can'+'on'+'la'+'w'='CANON LAW'

Can you help me to learn more?

(Other definitions for canon law that I've seen before include "Legislation of the Catholic Church" , "Body of regulations enacted by the Christian Church" , "strict rules" , "Ecclesiastical rule" , "Collection of rules governing a Christian church" .)

I've seen this clue in The Telegraph.

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