Theorems · Theorem · category theory
ModuleCat.localizedModuleFunctor_map_exact
∀ {R : Type u} [inst : CommRing R] [inst_1 : Small.{v, u} R] (S : Submonoid R)
(T : CategoryTheory.ShortComplex (ModuleCat R)), T.Exact → (T.map (ModuleCat.localizedModuleFunctor S)).Exact- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Submonoidstatement and proof · cited by 3,086
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- ModuleCatstatement and proof · cited by 1,429
- CategoryTheory.ShortComplex.X₂proof · cited by 1,115
- CategoryTheory.ShortComplex.X₁proof · cited by 889
- CategoryTheory.ShortComplex.X₃proof · cited by 876
- CategoryTheory.ShortComplex.gproof · cited by 658
- CategoryTheory.ShortComplex.fproof · cited by 653
- Smallstatement and proof · cited by 369
- ModuleCat.Hom.homproof · cited by 341
- CategoryTheory.ShortComplex.Exactstatement and proof · cited by 292
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