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Theorems · Definition · category theory

TwoP.toBipointed

TwoP → Bipointed

Turns a two-pointed type into a bipointed type, by forgetting that the pointed elements are distinct.

Defined in
Mathlib.CategoryTheory.Category.TwoP
Cited by
15 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TwoP.hom_ext · cited by 1TwoP.hom_extTwoP.coe_toBipointed · cited by 0TwoP.coe_toBipointedTwoP.hom_ext_iff · cited by 0TwoP.hom_ext_iffTwoP.swapEquiv_counitIso_hom_app_hom_toFun · cited by 0TwoP.swapEquiv_counitIso_…TwoP.swapEquiv_counitIso_inv_app_hom_toFun · cited by 0TwoP.swapEquiv_counitIso_…TwoP.swapEquiv_functor_map_hom_toFun · cited by 0TwoP.swapEquiv_functor_ma…TwoP.swapEquiv_inverse_map_hom_toFun · cited by 0TwoP.swapEquiv_inverse_ma…TwoP.swapEquiv_unitIso_hom_app_hom_toFun · cited by 0TwoP.swapEquiv_unitIso_ho…TwoP.swapEquiv_unitIso_inv_app_hom_toFun · cited by 0TwoP.swapEquiv_unitIso_in…TwoP.swap_map · cited by 0TwoP.swap_mapTwoP_swap_comp_forget_to_Bipointed · cited by 0TwoP_swap_comp_forget_to_…pointedToTwoPFst_comp_forget_to_bipointed · cited by 0pointedToTwoPFst_comp_for…pointedToTwoPFstForgetCompBipointedToPointedFstAdjunction · cited by 0pointedToTwoPFstForgetCom…pointedToTwoPFst_map_hom_toFun · cited by 0pointedToTwoPFst_map_hom_…pointedToTwoPSndForgetCompBipointedToPointedSndAdjunction · cited by 0pointedToTwoPSndForgetCom…Bipointed · cited by 52BipointedTwoP · cited by 31TwoPTwoPointing.toProd · cited by 22TwoPointing.toProdTwoP.toTwoPointing · cited by 8TwoP.toTwoPointingProd.Bipointed · cited by 0Prod.BipointedTwoP.toBipointedCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.