Theorems · Definition · category theory
CategoryTheory.Dial.Hom.f
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasFiniteProducts C] →
[inst_2 : CategoryTheory.Limits.HasPullbacks C] → {X Y : CategoryTheory.Dial C} → X.Hom Y → (X.src ⟶ Y.src)Maps the sources
- Defined in
- Mathlib.CategoryTheory.Dialectica.Basic
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Limits.HasPullbacksstatement and proof · cited by 439
- CategoryTheory.Limits.HasFiniteProductsstatement and proof · cited by 142
- CategoryTheory.Dialstatement and proof · cited by 80
- CategoryTheory.Dial.srcstatement · cited by 71
- CategoryTheory.Dial.Homstatement and proof · cited by 11
Cited by36
Results whose statement or proof uses this declaration.
- CategoryTheory.Dial.hom_extstatement and proof · cited by 13
- CategoryTheory.Dial.Hom.extstatement and proof · cited by 2
- CategoryTheory.Dial.tensorHomImplproof · cited by 2
- CategoryTheory.Dial.Hom.lestatement · cited by 1
- CategoryTheory.Dial.whiskerLeft_fstatement and proof · cited by 0
- CategoryTheory.Dial.whiskerRight_fstatement and proof · cited by 0
- CategoryTheory.Dial.Hom.ext_iffstatement and proof · cited by 0
- CategoryTheory.Dial.associatorImpl_hom_fstatement and proof · cited by 0
- CategoryTheory.Dial.associatorImpl_inv_fstatement and proof · cited by 0
- CategoryTheory.Dial.associator_hom_fstatement and proof · cited by 0
- CategoryTheory.Dial.associator_inv_fstatement and proof · cited by 0
- CategoryTheory.Dial.associator_naturalityproof · cited by 0