Theorems · Definition · category theory

LightCondMod.LocallyConstant.functorIsoDiscreteComponents

(R : Type u) →
  [inst : Ring R] →
    (M : ModuleCat R) → (LightCondensed.discrete (ModuleCat R)).obj M ≅ (LightCondMod.LocallyConstant.functor R).obj M

Auxiliary definition for functorIsoDiscrete.

Defined in: Mathlib.Condensed.Discrete.Module
Cited by: 0 results in Mathlib
Foundations: Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring

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Cites26

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement · cited by 16,252
Oppositestatement · cited by 8,081
Ringstatement and proof · cited by 7,463
CategoryTheory.NatTrans.appproof · cited by 7,406
CategoryTheory.Isostatement · cited by 3,963
TopCat.carrierstatement · cited by 3,184
TopCatstatement · cited by 1,889
ModuleCatstatement and proof · cited by 1,429
CategoryTheory.IsIsoproof · cited by 1,156
CategoryTheory.Presheaf.IsSheafstatement · cited by 991
SecondCountableTopologystatement · cited by 750

Cited by1

Results whose statement or proof uses this declaration.

LightCondMod.LocallyConstant.functorIsoDiscreteproof · cited by 0