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Theorems · Theorem · category theory

CategoryTheory.Limits.Types.Image.lift_fac

∀ {α β : Type u} {f : α ⟶ β} (F' : CategoryTheory.Limits.MonoFactorisation f),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.Types.Image.lift F') F'.m =
    CategoryTheory.Limits.Types.Image.ι f
Defined in
Mathlib.CategoryTheory.Limits.Types.Images
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Foundations
Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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CategoryTheory.Limits.Types.isImage · cited by 0Types.isImageDFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCategoryTheory.ConcreteCategory.ext · cited by 107ConcreteCategory.extCategoryTheory.Limits.MonoFactorisation.I · cited by 83MonoFactorisation.ITypeCat.Fun.ext · cited by 74Fun.extCategoryTheory.Limits.MonoFactorisation · cited by 69Limits.MonoFactorisationTypeCat.Fun.toFun · cited by 47Fun.toFunCategoryTheory.Limits.MonoFactorisation.m · cited by 45MonoFactorisation.mCategoryTheory.Limits.MonoFactorisation.fac · cited by 13MonoFactorisation.facCategoryTheory.Limits.Types.Image.lift · cited by 1Image.liftCategoryTheory.Limits.Types.Image.ι · cited by 1Image.ιCategoryTheory.Limits.Types.Image · cited by 1Types.ImageImage.lift_facCITED BYCITES

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