Theorems · Definition · category theory
CategoryTheory.Limits.MulticospanIndex.left
{J : CategoryTheory.Limits.MulticospanShape} →
{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Limits.MulticospanIndex J C → J.L → CLeft map, from J.L to C
- Cited by
- 119 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 5 definitions · 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.MulticospanShapestatement and proof · cited by 160
- CategoryTheory.Limits.MulticospanShape.Lstatement · cited by 135
- CategoryTheory.Limits.MulticospanIndexstatement and proof · cited by 101
Cited by155
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.MulticospanIndex.multicospanproof · cited by 167
- CategoryTheory.Limits.Multifork.ιstatement · cited by 55
- CategoryTheory.Limits.MulticospanIndex.fststatement · cited by 39
- CategoryTheory.Limits.Multiequalizer.ιstatement · cited by 37
- CategoryTheory.Limits.MulticospanIndex.sndstatement · cited by 35
- CategoryTheory.Limits.MulticospanIndex.fstPiMapOfIsLimitstatement and proof · cited by 29
- CategoryTheory.Limits.MulticospanIndex.sndPiMapOfIsLimitstatement and proof · cited by 29
- CategoryTheory.Limits.Multifork.ofιstatement and proof · cited by 21
- CategoryTheory.Limits.Multiequalizer.liftstatement and proof · cited by 18
- CategoryTheory.Limits.MulticospanIndex.fstPiMapstatement and proof · cited by 14
- CategoryTheory.Limits.MulticospanIndex.sndPiMapstatement and proof · cited by 14
- CategoryTheory.Limits.Multiequalizer.hom_extstatement · cited by 12