I started reading a document by Gerard 't Hooft which can be found here. Right at the start I am puzzled by a simple expression. It is equation 2.2 showing how a scalar function transforms. I repeat the equation here: $$ \phi^\prime(x) = \phi(x^\prime). \tag{2.2} $$ This does not look right to me. I would expect this to read like: $$ \phi^\prime(x^\prime) = \phi(x). $$ Am I missing something trivial or is this a typo?
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