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I was looking at HM(X) framework, Hindley-Milner parameterized by a constraint system X, and I was struggling to understand what does the projection operator $\exists \alpha$ does for a constraint. Also, how is this projection operator related to the existential Boolean quantifier?

E.g. https://www.cs.tufts.edu/~nr/cs257/archive/martin-odersky/hmx.pdf

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