Theorems · Theorem · category theory
CategoryTheory.SingleFunctors.Hom.ext_iff
∀ {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 = y ↔ x.hom = y.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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 · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.SingleFunctorsstatement and proof · cited by 65
- CategoryTheory.SingleFunctors.functorstatement · cited by 64
- CategoryTheory.SingleFunctors.Hom.homstatement and proof · cited by 38
- CategoryTheory.SingleFunctors.Homstatement and proof · cited by 9
- CategoryTheory.SingleFunctors.Hom.extproof · cited by 2
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