Theorems · Theorem · category theory
ModuleCat.smulShortComplex_exact
∀ {R : Type u} [inst : CommRing R] (M : ModuleCat R) (r : R), (M.smulShortComplex r).Exact- Defined in
- Mathlib.RingTheory.Regular.Category
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- CategoryTheory.ShortComplex.Exactstatement · cited by 292
- ModuleCat.smulShortComplexstatement and proof · cited by 11
- LinearMap.exact_lsmul_mkQ_smul_topproof · cited by 2
- ModuleCat.shortComplex_exactproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsSMulRegular.smulShortComplex_shortExactproof · cited by 3