Theorems · Definition · category theory
CondensedMod.LocallyConstant.adjunction
(R : Type (u + 1)) → [inst : Ring R] → CondensedMod.LocallyConstant.functor R ⊣ Condensed.underlying (ModuleCat R)
CondensedMod.LocallyConstant.functor is left adjoint to the forgetful functor from condensed
R-modules to R-modules.
- Defined in
- Mathlib.Condensed.Discrete.Module
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- Ringstatement and proof · cited by 7,463
- TopCatstatement · cited by 1,889
- ModuleCatstatement and proof · cited by 1,429
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.coherentTopologystatement · cited by 141
- CompHausstatement · cited by 61
- CategoryTheory.Adjunction.ofNatIsoLeftproof · cited by 10
- CondensedModstatement · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- CondensedMod.LocallyConstant.fullyFaithfulFunctorproof · cited by 0
- CondensedMod.isDiscrete_tfaestatement and proof · cited by 0