Theorems · Theorem · category theory
CategoryTheory.DifferentialObject.Hom.ext_iff
∀ {S : Type u_1} {inst : AddMonoidWithOne S} {C : Type u} {inst_1 : CategoryTheory.Category.{v, u} C}
{inst_2 : CategoryTheory.Limits.HasZeroMorphisms C} {inst_3 : CategoryTheory.HasShift C S}
{X Y : CategoryTheory.DifferentialObject S C} {x y : X.Hom Y}, x = y ↔ x.f = y.f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- AddMonoidWithOnestatement and proof · cited by 313
- CategoryTheory.DifferentialObjectstatement and proof · cited by 61
- CategoryTheory.DifferentialObject.objstatement · cited by 50
- CategoryTheory.DifferentialObject.Hom.fstatement and proof · cited by 28
- CategoryTheory.DifferentialObject.Homstatement and proof · cited by 9
- CategoryTheory.DifferentialObject.Hom.extproof · cited by 2
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