Theorems · Definition · category theory
CategoryTheory.Limits.WalkingParallelFamily.casesOn
{J : Type w} →
{motive : CategoryTheory.Limits.WalkingParallelFamily J → Sort u} →
(t : CategoryTheory.Limits.WalkingParallelFamily J) →
motive CategoryTheory.Limits.WalkingParallelFamily.zero →
motive CategoryTheory.Limits.WalkingParallelFamily.one → motive t- Cited by
- 3 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Limits.WalkingParallelFamilystatement and proof · cited by 61
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.parallelFamilyproof · cited by 58
- CategoryTheory.Limits.Cotrident.ofπproof · cited by 4
- CategoryTheory.Limits.Trident.ofιproof · cited by 4
- CategoryTheory.Limits.Cotrident.ofπ_ι_appstatement · cited by 1
- CategoryTheory.Limits.Trident.ofι_π_appstatement · cited by 1
- CategoryTheory.Limits.WalkingParallelFamily.ctorElimproof · cited by 0
- CategoryTheory.Limits.WalkingParallelFamily.ctorIdxproof · cited by 0
- CategoryTheory.Limits.WalkingParallelFamily.noConfusionproof · cited by 0
- CategoryTheory.Limits.WalkingParallelFamily.noConfusionTypeproof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_functor_mapstatement · cited by 0