Theorems · Definition · category theory
ModuleCat.binaryProductLimitCone
{R : Type u} → [inst : Ring R] → (M N : ModuleCat R) → CategoryTheory.Limits.LimitCone (CategoryTheory.Limits.pair M N)Construct limit data for a binary product in ModuleCat R, using ModuleCat.of R (M × N).
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Ringstatement and proof · cited by 7,463
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Discretestatement and proof · cited by 2,447
- ModuleCatstatement and proof · cited by 1,429
- CategoryTheory.Limits.WalkingPairstatement and proof · cited by 1,319
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- ModuleCat.carrierproof · cited by 997
- CategoryTheory.Limits.Coneproof · cited by 710
- ModuleCat.ofproof · cited by 594
- CategoryTheory.Limits.pairstatement and proof · cited by 536
Cited by7
Results whose statement or proof uses this declaration.
- ModuleCat.biprodIsoProdproof · cited by 4
- ModuleCat.biprodIsoProd_inv_comp_fstproof · cited by 1
- ModuleCat.biprodIsoProd_inv_comp_sndproof · cited by 1
- ModuleCat.binaryProductLimitCone_cone_ptstatement and proof · cited by 0
- ModuleCat.binaryProductLimitCone_cone_π_app_leftstatement · cited by 0
- ModuleCat.binaryProductLimitCone_cone_π_app_rightstatement · cited by 0
- ModuleCat.binaryProductLimitCone_isLimit_liftstatement and proof · cited by 0