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Resident Grouch
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If you succeeded in losslessly compressing a file, you removed redundancy, whether you recognized it or not. If you remove anything which isn't redundant (available elsewhere in the information), then the removal wasn't lossless. If you store or find stored non-redundant information in another place (a recoverable "random" number, say) and add it back later, it isn't compression, it's reorganization.
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