Theorems · Theorem · category theory
CategoryTheory.SingleFunctors.Hom.ext
∀ {C : Type u_1} {D : Type u_2} {inst : CategoryTheory.Category.{v_1, u_1} C}
{inst_1 : CategoryTheory.Category.{v_2, u_2} D} {A : Type u_5} {inst_2 : AddMonoid A}
{inst_3 : CategoryTheory.HasShift D A} {F G : CategoryTheory.SingleFunctors C D A} {x y : F.Hom G},
x.hom = y.hom → x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Functorstatement · cited by 16,252
- CategoryTheory.Iso.homproof · cited by 7,684
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.shiftFunctorproof · cited by 1,553
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Functor.whiskerRightproof · cited by 467
- CategoryTheory.SingleFunctorsstatement and proof · cited by 65
- CategoryTheory.SingleFunctors.functorstatement and proof · cited by 64
- CategoryTheory.SingleFunctors.Hom.homstatement and proof · cited by 38
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.SingleFunctors.hom_extproof · cited by 1
- CategoryTheory.SingleFunctors.Hom.ext_iffproof · cited by 0