Theorems · Theorem · category theory
CategoryTheory.Conv.one_eq
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {M N : C}
[inst_2 : CategoryTheory.ComonObj M] [inst_3 : CategoryTheory.MonObj N],
1 = CategoryTheory.CategoryStruct.comp CategoryTheory.ComonObj.counit CategoryTheory.MonObj.one- Defined in
- Mathlib.CategoryTheory.Monoidal.Conv
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.MonObjstatement and proof · cited by 199
- CategoryTheory.MonObj.onestatement · cited by 189
- CategoryTheory.ComonObj.counitstatement · cited by 67
- CategoryTheory.ComonObjstatement and proof · cited by 48
- CategoryTheory.Convstatement · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.HopfObj.mul_antipodeproof · cited by 1
- CategoryTheory.HopfObj.antipode_antipodeproof · cited by 0
- CategoryTheory.HopfObj.antipode_comulproof · cited by 0
- CategoryTheory.HopfObj.hom_antipodeproof · cited by 0