Theorems · Definition · category theory
CategoryTheory.Limits.MultispanIndex.left
{J : CategoryTheory.Limits.MultispanShape} →
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Limits.MultispanIndex J C → J.L → CLeft map, from J.L to C
- Cited by
- 85 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Limits.MultispanShape.Lstatement · cited by 129
- CategoryTheory.Limits.MultispanIndexstatement and proof · cited by 102
- CategoryTheory.Limits.MultispanShapestatement and proof · cited by 102
Cited by114
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.MultispanIndex.multispanproof · cited by 139
- CategoryTheory.Limits.MultispanIndex.fststatement · cited by 40
- CategoryTheory.Limits.MultispanIndex.sndstatement · cited by 40
- CategoryTheory.Limits.MultispanIndex.fstSigmaMapOfIsColimitstatement and proof · cited by 29
- CategoryTheory.Limits.MultispanIndex.sndSigmaMapOfIsColimitstatement and proof · cited by 29
- CategoryTheory.Limits.MultispanIndex.mapproof · cited by 22
- CategoryTheory.Limits.MultispanIndex.toLinearOrderproof · cited by 20
- CategoryTheory.Limits.MultispanIndex.fstSigmaMapstatement and proof · cited by 16
- CategoryTheory.Limits.MultispanIndex.sndSigmaMapstatement and proof · cited by 16
- CategoryTheory.Limits.Multicofork.ofπstatement · cited by 15
- CategoryTheory.Limits.MultispanIndex.multicoforkEquivSigmaCoforkstatement and proof · cited by 11
- CategoryTheory.Limits.Multicoequalizer.descstatement · cited by 10