Theorems · Theorem · category theory
CategoryTheory.zeroMul_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {A : C}
[inst_2 : CategoryTheory.Closed A] {I : C} (t : CategoryTheory.Limits.IsInitial I),
(CategoryTheory.zeroMul t).hom = CategoryTheory.SemiCartesianMonoidalCategory.snd A I- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.SemiCartesianMonoidalCategory.sndstatement · cited by 181
- CategoryTheory.Limits.IsInitialstatement and proof · cited by 158
- CategoryTheory.Closedstatement and proof · cited by 90
- CategoryTheory.zeroMulstatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.strict_initialproof · cited by 1