Theorems · Theorem · category theory
ModuleCat.uliftFunctor_map_exact
∀ (R : Type u) [inst : Ring R] (S : CategoryTheory.ShortComplex (ModuleCat R)),
S.Exact → (S.map (ModuleCat.uliftFunctor.{u_1, v, u} R)).Exact- Defined in
- Mathlib.Algebra.Category.ModuleCat.Ulift
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- map_zeroproof · cited by 1,614
- ModuleCatstatement and proof · cited by 1,429
- CategoryTheory.ShortComplex.X₂proof · cited by 1,115
- ModuleCat.carrierproof · cited by 997
- CategoryTheory.ShortComplex.X₁proof · cited by 889
- CategoryTheory.ShortComplex.gproof · cited by 658
- CategoryTheory.ShortComplex.fproof · cited by 653
- ModuleCat.Hom.homproof · cited by 341
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