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} (f g : M ⟶ N), f.hom = g.hom → f = g- Defined in
- Mathlib.CategoryTheory.Monoidal.Bimod
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Monstatement and proof · cited by 465
- Bimodstatement and proof · cited by 68
- Bimod.Xstatement · cited by 62
- Bimod.Hom.homstatement and proof · cited by 26
- Bimod.Hom.extproof · cited by 2
Cited by13
Results whose statement or proof uses this declaration.
- Bimod.pentagon_bimodproof · cited by 0
- Bimod.whiskerLeft_comp_bimodproof · cited by 0
- Bimod.comp_whiskerLeft_bimodproof · cited by 0
- Bimod.comp_whiskerRight_bimodproof · cited by 0
- Bimod.hom_ext_iffproof · cited by 0
- Bimod.id_whiskerLeft_bimodproof · cited by 0
- Bimod.id_whiskerRight_bimodproof · cited by 0
- Bimod.triangle_bimodproof · cited by 0
- Bimod.whiskerLeft_id_bimodproof · cited by 0
- Bimod.whiskerRight_comp_bimodproof · cited by 0
- Bimod.whiskerRight_id_bimodproof · cited by 0
- Bimod.whisker_assoc_bimodproof · cited by 0