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okay so we got to the message in this big mess is that the world is messy and complicated um I wanted to say the world is messy and complicated and not just inside mini Crypt and up but also uh sorry not just in crypto Mania and up but also within uh minicrypt so in particular um lets consider one-way permutations an injective one-way functions this implications are obvious from the definition one where permutation is a one-way function such that um it takes n bit strings to end bit string its a permutation over zero and one to the N for n bit strings and injective is an injective one-way function obviously this imply that um but somehow its not clear to us should we put this in minicrypt should we put it in crypto Mania I dont know and another primitive thats unclear is Collision resistant hash function which Ill Define in a minute in the next slide just to say something about it although Im not sure if we really need the definition um but what I wanted to say is that um these