Theorems · Theorem · category theory
CategoryTheory.ModObj.ext
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C] {M : C}
[inst_2 : CategoryTheory.MonObj M] {X : C} (h₁ h₂ : CategoryTheory.ModObj M X),
CategoryTheory.ModObj.smul = CategoryTheory.ModObj.smul → h₁ = h₂- Defined in
- Mathlib.CategoryTheory.Monoidal.Mod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonObj.mulproof · cited by 230
- CategoryTheory.MonObjstatement and proof · cited by 199
- CategoryTheory.MonObj.oneproof · cited by 189
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionObjstatement and proof · cited by 185
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomRightproof · cited by 83
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionHomLeftproof · cited by 68
- CategoryTheory.MonoidalCategory.MonoidalLeftActionStruct.actionAssocIsoproof · cited by 53
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ModObj.ext_iffproof · cited by 0