Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.WideSubcategory.mk.inj

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {_P : CategoryTheory.MorphismProperty C}
  {inst_1 : _P.IsMultiplicative} {obj obj_1 : C}, { obj := obj } = { obj := obj_1 } → obj = obj_1
Defined in
Mathlib.CategoryTheory.Widesubcategory
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.WideSubcategory.mk.injEq · cited by 0mk.injEqCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…CategoryTheory.WideSubcategory · cited by 26CategoryTheory.WideSubcat…CategoryTheory.WideSubcategory.mk.noConfusion · cited by 1mk.noConfusionmk.injCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.