Theorems · Definition · category theory
TwoP.swap
CategoryTheory.Functor TwoP TwoP
Swaps the pointed elements of a two-pointed type. TwoPointing.swap as a functor.
- Defined in
- Mathlib.CategoryTheory.Category.TwoP
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.InducedCategory.homMkproof · cited by 33
- TwoPstatement and proof · cited by 31
- TwoP.Xproof · cited by 13
- TwoP.toTwoPointingproof · cited by 8
- TwoPointing.swapproof · cited by 8
Cited by9
Results whose statement or proof uses this declaration.
- TwoP.swapEquivproof · cited by 11
- TwoP.swap_mapstatement and proof · cited by 0
- TwoP.swap_obj_Xstatement and proof · cited by 0
- TwoP.swap_obj_toTwoPointingstatement and proof · cited by 0
- TwoP_swap_comp_forget_to_Bipointedstatement · cited by 0
- pointedToTwoPFst_comp_swapstatement · cited by 0
- TwoP.swapEquiv_counitIso_hom_app_hom_toFunstatement and proof · cited by 0
- TwoP.swapEquiv_counitIso_inv_app_hom_toFunstatement and proof · cited by 0
- pointedToTwoPSnd_comp_swapstatement · cited by 0