Theorems · Theorem · category theory
CategoryTheory.coalgebraEquivOver_functor
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : C) [inst_1 : CategoryTheory.Limits.HasBinaryProducts C],
(CategoryTheory.coalgebraEquivOver X).functor = CategoryTheory.coalgebraToOver X- Defined in
- Mathlib.CategoryTheory.Monad.Products
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Comonad.Coalgebrastatement · cited by 114
- CategoryTheory.Limits.HasBinaryProductsstatement and proof · cited by 79
- CategoryTheory.prodComonadstatement · cited by 20
- CategoryTheory.coalgebraToOverstatement · cited by 8
- CategoryTheory.coalgebraEquivOverstatement and proof · cited by 4
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