Theorems · Definition · category theory
CategoryTheory.SemiCartesianMonoidalCategory.toUnit
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.SemiCartesianMonoidalCategory C] →
(X : C) → X ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit CThe unique map to the terminal object.
- Cited by
- 103 results in Mathlib
- Foundations
- Depth 26 from the axioms, rests on 142 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.Limits.IsTerminal.fromproof · cited by 160
- CategoryTheory.SemiCartesianMonoidalCategory.isTerminalTensorUnitproof · cited by 30
- CategoryTheory.SemiCartesianMonoidalCategorystatement and proof · cited by 14
Cited by119
Results whose statement or proof uses this declaration.
- CategoryTheory.toOverUnitproof · cited by 10
- CategoryTheory.Functor.OplaxMonoidal.δ_fstproof · cited by 7
- CategoryTheory.Functor.OplaxMonoidal.δ_sndproof · cited by 7
- CategoryTheory.AddGrpObj.left_negstatement · cited by 6
- CategoryTheory.AddGrpObj.lift_comp_neg_leftstatement and proof · cited by 6
- CategoryTheory.AddGrpObj.lift_comp_neg_rightstatement and proof · cited by 6
- CategoryTheory.GrpObj.left_invstatement · cited by 6
- CategoryTheory.GrpObj.lift_comp_inv_leftstatement and proof · cited by 6
- CategoryTheory.GrpObj.lift_comp_inv_rightstatement and proof · cited by 6
- CategoryTheory.SemiCartesianMonoidalCategory.comp_toUnit_assocstatement and proof · cited by 5
- CategoryTheory.CartesianMonoidalCategory.terminalComparisonproof · cited by 5
- CategoryTheory.AddGrpObj.right_negstatement · cited by 5