Theorems · Definition · category theory
CategoryTheory.LaxMonoidalFunctor.Hom.noConfusion
{P : Sort u} →
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{inst_1 : CategoryTheory.MonoidalCategory C} →
{D : Type u₂} →
{inst_2 : CategoryTheory.Category.{v₂, u₂} D} →
{inst_3 : CategoryTheory.MonoidalCategory D} →
{F G : CategoryTheory.LaxMonoidalFunctor C D} →
{t : F.Hom G} →
{C' : Type u₁} →
{inst' : CategoryTheory.Category.{v₁, u₁} C'} →
{inst'_1 : CategoryTheory.MonoidalCategory C'} →
{D' : Type u₂} →
{inst'_2 : CategoryTheory.Category.{v₂, u₂} D'} →
{inst'_3 : CategoryTheory.MonoidalCategory D'} →
{F' G' : CategoryTheory.LaxMonoidalFunctor C' D'} →
{t' : F'.Hom G'} →
C = C' →
inst ≍ inst' →
inst_1 ≍ inst'_1 →
D = D' →
inst_2 ≍ inst'_2 →
inst_3 ≍ inst'_3 →
F ≍ F' →
G ≍ G' →
t ≍ t' → CategoryTheory.LaxMonoidalFunctor.Hom.noConfusionType P t t'- Cited by
- 0 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.
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.Homproof · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.LaxMonoidalFunctorstatement and proof · cited by 96
- CategoryTheory.LaxMonoidalFunctor.toFunctorproof · cited by 63
- CategoryTheory.NatTrans.IsMonoidalproof · cited by 31
- CategoryTheory.LaxMonoidalFunctor.Homstatement and proof · cited by 5
- CategoryTheory.LaxMonoidalFunctor.Hom.casesOnproof · cited by 1
- CategoryTheory.LaxMonoidalFunctor.Hom.noConfusionTypestatement · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.LaxMonoidalFunctor.Hom.mk.noConfusionproof · cited by 1