Theorems · Theorem · category theory
ModuleCat.adj_homEquiv
∀ (R : Type u) [inst : Ring R] (X : Type u) (M : ModuleCat R), (ModuleCat.adj R).homEquiv X M = ModuleCat.freeHomEquiv
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- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Equivstatement and proof · cited by 8,337
- Ringstatement and proof · cited by 7,463
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierstatement · cited by 997
- CategoryTheory.forgetstatement and proof · cited by 418
- CategoryTheory.Adjunction.homEquivstatement · cited by 202
- ModuleCat.freestatement and proof · cited by 19
- CategoryTheory.Adjunction.mkOfHomEquiv_homEquivproof · cited by 14
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