Theorems · Definition · category theory
FGModuleCat.carrier
{R : Type u} → [inst : Ring R] → FGModuleCat R → Type vA synonym for M.obj.carrier, which we can mark with @[coe].
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- ModuleCat.carrierproof · cited by 997
- FGModuleCatstatement and proof · cited by 52
Cited by41
Results whose statement or proof uses this declaration.
- FDRep.ρstatement · cited by 20
- FDRep.characterproof · cited by 11
- FGModuleCat.FGModuleCatDualproof · cited by 5
- TannakaDuality.FiniteGroup.sumSMulInvstatement and proof · cited by 3
- FGModuleCat.isoToLinearEquivstatement · cited by 3
- FDRep.isoToLinearEquivstatement · cited by 2
- FDRep.scalar_product_char_eq_finrank_equivariantproof · cited by 2
- FGModuleCat.FGModuleCatEvaluationproof · cited by 2
- TannakaDuality.FiniteGroup.ofRightFDRepstatement and proof · cited by 2
- FDRep.dualTensorIsoLinHomstatement · cited by 2
- FDRep.hom_hom_action_ρstatement · cited by 1
- FDRep.of_ρ'statement · cited by 1