Theorems · Definition · category theory
LightCondMod.LocallyConstant.adjunction
(R : Type u) → [inst : Ring R] → LightCondMod.LocallyConstant.functor R ⊣ LightCondensed.underlying (ModuleCat R)
LightCondMod.LocallyConstant.functor is left adjoint to the forgetful functor from light condensed
R-modules to R-modules.
- Defined in
- Mathlib.Condensed.Discrete.Module
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 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.
Cites19
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
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- ModuleCatstatement and proof · cited by 1,429
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- SecondCountableTopologystatement · cited by 750
- CategoryTheory.Adjunctionstatement · cited by 524
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.coherentTopologystatement · cited by 141
Cited by2
Results whose statement or proof uses this declaration.
- LightCondMod.isDiscrete_tfaestatement and proof · cited by 0
- LightCondMod.LocallyConstant.fullyFaithfulFunctorproof · cited by 0