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Theorems · Definition · category theory

CategoryTheory.Quotient.Hom

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (r : HomRel C) → CategoryTheory.Quotient r → CategoryTheory.Quotient r → Type v_1

Hom-sets of the quotient category.

Defined in
Mathlib.CategoryTheory.Quotient
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.Category
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Around this declaration

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

CategoryTheory.Quotient.comp · cited by 1Quotient.compCategoryTheory.Quotient.comp_mk · cited by 0Quotient.comp_mkCategoryTheory.Category · cited by 32673CategoryTheory.CategoryHomRel · cited by 49HomRelCategoryTheory.Quotient · cited by 48CategoryTheory.QuotientCategoryTheory.Quotient.as · cited by 47Quotient.asCategoryTheory.HomRel.CompClosure · cited by 19HomRel.CompClosureQuotient.HomCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.