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Theorems · Definition · category theory

CategoryTheory.Grpd.piIsoPi

(J : Type u) → (f : J → CategoryTheory.Grpd) → CategoryTheory.Grpd.of ((j : J) → ↑(f j)) ≅ ∏ᶜ f

The product of a family of groupoids is isomorphic to the product object in the category of Groupoids

Defined in
Mathlib.CategoryTheory.Groupoid.Grpd.Basic
Cited by
1 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

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