Theorems · Definition · category theory
GrpCat.binaryProductLimitCone
(G H : GrpCat) → CategoryTheory.Limits.LimitCone (CategoryTheory.Limits.pair G H)
Construct limit data for a binary product in GrpCat, using GrpCat.of (G × H)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Discretestatement · cited by 2,447
- CategoryTheory.Limits.WalkingPairstatement · cited by 1,319
- CategoryTheory.Limits.pairstatement · cited by 536
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierproof · cited by 125
- CategoryTheory.Limits.BinaryFan.mkproof · cited by 112
- GrpCat.Hom.homproof · cited by 47
- MonoidHom.sndproof · cited by 31
- MonoidHom.fstproof · cited by 28
- CategoryTheory.Limits.LimitConestatement · cited by 25
- GrpCat.ofHomproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- GrpCat.binaryProductLimitCone_cone_ptstatement and proof · cited by 0
- GrpCat.binaryProductLimitCone_isLimit_liftstatement and proof · cited by 0