Theorems · Theorem · category theory
LightCondMod.isDiscrete_iff_isDiscrete_forget
∀ (R : Type u) [inst : Ring R] (M : LightCondMod R), LightCondensed.IsDiscrete M ↔ LightCondensed.IsDiscrete ((LightCondensed.forget R).obj M)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 182 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.Functor.objstatement · cited by 19,642
- 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.Presheaf.IsSheafstatement · cited by 991
- SecondCountableTopologystatement · cited by 750
- CategoryTheory.forgetproof · cited by 418
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.coherentTopologystatement and proof · cited by 141
Cited by1
Results whose statement or proof uses this declaration.
- LightCondMod.isDiscrete_tfaeproof · cited by 0