Theorems · Theorem · category theory
Bimod.Hom.ext
∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.MonoidalCategory C}
{A B : CategoryTheory.Mon C} {M N : Bimod A B} {x y : M.Hom N}, x.hom = y.hom → x = y- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftproof · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xproof · cited by 329
- Bimodstatement and proof · cited by 68
- Bimod.Xstatement and proof · cited by 62
- Bimod.actLeftproof · cited by 47
- Bimod.actRightproof · cited by 47
Cited by2
Results whose statement or proof uses this declaration.
- Bimod.hom_extproof · cited by 13
- Bimod.Hom.ext_iffproof · cited by 0