Theorems · Definition · category theory
CategoryTheory.Bimon.trivial
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → [inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.Bimon CThe trivial bimonoid object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimon_
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 37 from the axioms · 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
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monproof · cited by 465
- CategoryTheory.Bimonstatement · cited by 37
- CategoryTheory.Comon.trivialproof · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.Bimon.toTrivialstatement · cited by 1
- CategoryTheory.Bimon.trivialTostatement · cited by 1
- CategoryTheory.Bimon.toTrivial_homstatement · cited by 0
- CategoryTheory.Bimon.trivialTo_homstatement · cited by 0
- CategoryTheory.Bimon.trivial_X_Xstatement and proof · cited by 0
- CategoryTheory.Bimon.trivial_X_mon_mulstatement · cited by 0
- CategoryTheory.Bimon.trivial_X_mon_onestatement · cited by 0
- CategoryTheory.Bimon.trivial_comon_comul_homstatement · cited by 0
- CategoryTheory.Bimon.trivial_comon_counit_homstatement · cited by 0