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---
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title: "Path induction eliminator: a GADT perspective"
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title: "Path induction: a GADT perspective"
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slug: 2023-10-23-path-induction-gadt-perspective
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date: 2023-10-23
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tags: ["type-theory"]
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@ -36,7 +36,7 @@ Like all inductive types, it comes with the typical rules used to introduce type
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- Computation rule
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There's something quite peculiar about the elimination rule in particular (commonly known as "path induction", or just $J$).
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Let's take a look at its definition, in Agda-ish syntax:
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Let's take a look at its definition, in Agda syntax:
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```agda
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J : {A : Set}
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