Theorems · Definition · category theory
LightCondensed.freeForgetAdjunction
(R : Type u) → [inst : Ring R] → LightCondensed.free R ⊣ LightCondensed.forget R
The condensed version of the free-forgetful adjunction.
- Defined in
- Mathlib.Condensed.Light.Module
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 128 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.
Cites18
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
- CategoryTheory.Adjunctionstatement · cited by 524
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.coherentTopologystatement and proof · cited by 141
- LightProfinitestatement and proof · cited by 90
Cited by8
Results whose statement or proof uses this declaration.
- LightCondensed.ihomPointsproof · cited by 5
- LightCondMod.factorsThru_lightProfinite_epi_of_epiproof · cited by 1
- LightCondensed.ihomPoints_symm_compproof · cited by 1
- LightCondensed.ihom_map_val_appproof · cited by 1
- LightCondensed.ihomPoints_applystatement · cited by 0
- LightCondensed.ihomPoints_symm_applystatement · cited by 0
- LightCondensed.epi_π_app_zero_of_epiproof · cited by 0
- LightCondensed.equivSmallFreeIsoproof · cited by 0