Theorems · Definition · category theory
CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair
CategoryTheory.Limits.WalkingParallelFamily (ULift.{w, 0} Bool) ≌ CategoryTheory.Limits.WalkingParallelPairWalkingParallelPair as a category is equivalent to a special case of
WalkingParallelFamily.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Limits.WalkingParallelPairstatement and proof · cited by 781
- CategoryTheory.Limits.parallelPairproof · cited by 766
- CategoryTheory.Equivalencestatement · cited by 601
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- CategoryTheory.eqToIsoproof · cited by 97
- CategoryTheory.Limits.WalkingParallelFamilystatement and proof · cited by 61
- CategoryTheory.Limits.parallelFamilyproof · cited by 58
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_counitIso_hom_appstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_counitIso_inv_appstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_functor_mapstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_functor_objstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_inverse_mapstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_inverse_objstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_unitIso_hom_appstatement and proof · cited by 0
- CategoryTheory.Limits.walkingParallelFamilyEquivWalkingParallelPair_unitIso_inv_appstatement and proof · cited by 0