Theorems · Definition · category theory

CondensedMod.LocallyConstant.functorIsoDiscreteComponents

(R : Type (u + 1)) →
  [inst : Ring R] →
    (M : ModuleCat R) → (Condensed.discrete (ModuleCat R)).obj M ≅ (CondensedMod.LocallyConstant.functor R).obj M

Auxiliary definition for functorIsoDiscrete.

Defined in: Mathlib.Condensed.Discrete.Module
Cited by: 0 results in Mathlib
Foundations: Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Ring

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Cites35

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

Setstatement · cited by 53,352
CategoryTheory.Functor.objstatement and proof · cited by 19,642
RingHom.idstatement · cited by 18,349
CategoryTheory.Functorstatement · cited by 16,252
LinearMapstatement · cited by 10,215
Oppositestatement · cited by 8,081
Ringstatement and proof · cited by 7,463
CategoryTheory.NatTrans.appproof · cited by 7,406
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Isostatement · cited by 3,963
TopCatstatement · cited by 1,889
ModuleCatstatement and proof · cited by 1,429

Cited by1

Results whose statement or proof uses this declaration.

CondensedMod.LocallyConstant.functorIsoDiscreteproof · cited by 0