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Theorems · Definition · category theory

CategoryTheory.WithTerminal.incl

{C : Type u} → [inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor C (CategoryTheory.WithTerminal C)

The inclusion from C into WithTerminal C.

Defined in
Mathlib.CategoryTheory.WithTerminal.Basic
Cited by
31 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext
Assumes
CategoryTheory.Category

Around this declaration

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

CategoryTheory.WithTerminal.equivComma · cited by 26WithTerminal.equivCommaCategoryTheory.WithTerminal.mkCommaObject · cited by 14WithTerminal.mkCommaObjectCategoryTheory.WithTerminal.mkCommaMorphism · cited by 8WithTerminal.mkCommaMorph…CategoryTheory.WithTerminal.inclLift · cited by 3WithTerminal.inclLiftCategoryTheory.WithTerminal.inclLiftToTerminal · cited by 2WithTerminal.inclLiftToTe…CategoryTheory.WithTerminal.liftToTerminalUnique · cited by 2WithTerminal.liftToTermin…AugmentedSimplexCategory.equivAugmentedSimplicialObject_unitIso_inv_app_app · cited by 0AugmentedSimplexCategory.…CategoryTheory.WithTerminal.mkCommaObject_hom_app · cited by 0WithTerminal.mkCommaObjec…CategoryTheory.WithTerminal.mkCommaObject_left_map · cited by 0WithTerminal.mkCommaObjec…CategoryTheory.WithTerminal.mkCommaObject_left_obj · cited by 0WithTerminal.mkCommaObjec…CategoryTheory.WithTerminal.mkCommaMorphism_left_app · cited by 0WithTerminal.mkCommaMorph…CategoryTheory.WithTerminal.equivComma_counitIso_hom_app_left_app · cited by 0WithTerminal.equivComma_c…CategoryTheory.WithTerminal.equivComma_counitIso_inv_app_left_app · cited by 0WithTerminal.equivComma_c…CategoryTheory.WithTerminal.equivComma_functor_map_left_app · cited by 0WithTerminal.equivComma_f…CategoryTheory.WithTerminal.equivComma_functor_obj_hom_app · cited by 0WithTerminal.equivComma_f…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.WithTerminal · cited by 115CategoryTheory.WithTermin…WithTerminal.inclCITED BYCITES

Cites4

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

Cited by39

Results whose statement or proof uses this declaration.