Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Limits.parallelPair.parallelPairObj

{C : Type u} → C → C → CategoryTheory.Limits.WalkingParallelPair → C

Implementation of parallelPair, do not use directly.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Equalizers
Cited by
13 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Limits.parallelPair · cited by 766Limits.parallelPairCategoryTheory.Limits.parallelPair.parallelPairHom · cited by 7parallelPair.parallelPair…CategoryTheory.Limits.MulticospanIndex.parallelPairDiagramOfIsLimit_map · cited by 0MulticospanIndex.parallel…CategoryTheory.Limits.MulticospanIndex.parallelPairDiagramOfIsLimit_obj · cited by 0MulticospanIndex.parallel…CategoryTheory.Limits.MulticospanIndex.parallelPairDiagram_map · cited by 0MulticospanIndex.parallel…CategoryTheory.Limits.MulticospanIndex.parallelPairDiagram_obj · cited by 0MulticospanIndex.parallel…CategoryTheory.Limits.parallelPair.parallelPairHom_id · cited by 0parallelPair.parallelPair…CategoryTheory.Limits.parallelPair.parallelPairHom_left · cited by 0parallelPair.parallelPair…CategoryTheory.Limits.parallelPair.parallelPairHom_right · cited by 0parallelPair.parallelPair…CategoryTheory.Limits.parallelPair.parallelPairObj_one · cited by 0parallelPair.parallelPair…CategoryTheory.Limits.parallelPair.parallelPairObj_zero · cited by 0parallelPair.parallelPair…CategoryTheory.Limits.MultispanIndex.parallelPairDiagramOfIsColimit_map · cited by 0MultispanIndex.parallelPa…CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_inverse_map · cited by 0Limits.walkingParallelFam…CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_inverse_obj · cited by 0Limits.walkingParallelFam…CategoryTheory.Limits.MultispanIndex.parallelPairDiagramOfIsColimit_obj · cited by 0MultispanIndex.parallelPa…CategoryTheory.Limits.WalkingParallelPair · cited by 781Limits.WalkingParallelPairparallelPair.parallelPairObjCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.