Theorems · Definition · category theory
LightCondensed.free
(R : Type u) → [inst : Ring R] → CategoryTheory.Functor LightCondSet (LightCondMod R)
The left adjoint to the forgetful functor. The free light condensed `R`-module on a light condensed set.
- Defined in
- Mathlib.Condensed.Light.Module
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 127 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.
Cites15
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 · cited by 1,429
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- SecondCountableTopologystatement · cited by 750
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- LightProfinitestatement and proof · cited by 90
- LightCondSetstatement · cited by 26
Cited by15
Results whose statement or proof uses this declaration.
- LightCondensed.freeForgetAdjunctionstatement · cited by 6
- LightCondensed.ihomPointsstatement and proof · cited by 5
- LightCondensed.internallyProjective_iff_tensor_conditionstatement and proof · cited by 2
- LightCondensed.internallyProjective_iff_tensor_condition'statement and proof · cited by 1
- LightCondensed.free_internallyProjective_iff_tensor_conditionstatement and proof · cited by 1
- LightCondensed.free_internallyProjective_iff_tensor_condition'statement and proof · cited by 1
- LightCondensed.free_lightProfinite_internallyProjective_iff_tensor_condition'statement and proof · cited by 1
- LightCondMod.factorsThru_lightProfinite_epi_of_epistatement and proof · cited by 1
- LightCondensed.ihomPoints_symm_compstatement and proof · cited by 1
- LightCondensed.ihom_map_val_appstatement and proof · cited by 1
- LightCondensed.internallyProjective_free_natUnionInftystatement and proof · cited by 0
- LightCondensed.equivSmallFreeIsostatement · cited by 0