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Removed section
editI removed the following section, as it seems to do with groupoids and not the fundamental groupoid. (I am not an expert and may be wrong)
In homotopy type theory
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In intensional intuitionistic type theory (ITT), types have the structure of weak ∞-groupoids (for details and references, see Homotopy type theory#History). This observation led to the development of homotopy type theory, in which weak ∞-groupoids are a primitive or synthetic notion (meaning they are not defined within the theory).