Theorems · Theorem · category theory
CategoryTheory.GrpObj.ext
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{X : C} (h₁ h₂ : CategoryTheory.GrpObj X), h₁.toMonObj = h₂.toMonObj → h₁ = h₂- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.MonObjstatement · cited by 199
- CategoryTheory.GrpObjstatement and proof · cited by 99
- CategoryTheory.GrpObj.toMonObj_injectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.ofRepresentableBy_yonedaGrpObjRepresentableByproof · cited by 0
- CategoryTheory.GrpObj.ext_iffproof · cited by 0