Theorems · Theorem · category theory
CategoryTheory.CostructuredArrow.eqToHom_left
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{T : D} {S : CategoryTheory.Functor C D} {X Y : CategoryTheory.CostructuredArrow S T} (h : X = Y),
(CategoryTheory.eqToHom h).left = CategoryTheory.eqToHom ⋯- Cited by
- 10 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 16,252
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.Comma.leftstatement · cited by 886
- CategoryTheory.eqToHomstatement · cited by 860
- CategoryTheory.Functor.fromPUnitstatement · cited by 769
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
- CategoryTheory.CommaMorphism.leftstatement · cited by 526
- CategoryTheory.CostructuredArrow.leftproof · cited by 202
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.CostructuredArrow.homMk'_compproof · cited by 1
- CategoryTheory.CostructuredArrow.homMk'_idproof · cited by 1
- CategoryTheory.CostructuredArrow.mkPrecomp_compproof · cited by 1
- CategoryTheory.CostructuredArrow.mkPrecomp_idproof · cited by 1
- CategoryTheory.OverPresheafAux.unitBackward_unitForwardproof · cited by 0
- CategoryTheory.OverPresheafAux.unitForward_naturality₁proof · cited by 0
- CategoryTheory.OverPresheafAux.unitForward_naturality₂proof · cited by 0
- CategoryTheory.OverPresheafAux.unitForward_unitBackwardproof · cited by 0
- CategoryTheory.OverPresheafAux.counitForward_naturality₂proof · cited by 0