Theorems · Definition · category theory
CategoryTheory.Functor.Braided.noConfusion
{P : Sort u} →
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{inst_1 : CategoryTheory.MonoidalCategory C} →
{inst_2 : CategoryTheory.BraidedCategory C} →
{D : Type u₂} →
{inst_3 : CategoryTheory.Category.{v₂, u₂} D} →
{inst_4 : CategoryTheory.MonoidalCategory D} →
{inst_5 : CategoryTheory.BraidedCategory D} →
{F : CategoryTheory.Functor C D} →
{t : F.Braided} →
{C' : Type u₁} →
{inst' : CategoryTheory.Category.{v₁, u₁} C'} →
{inst'_1 : CategoryTheory.MonoidalCategory C'} →
{inst'_2 : CategoryTheory.BraidedCategory C'} →
{D' : Type u₂} →
{inst'_3 : CategoryTheory.Category.{v₂, u₂} D'} →
{inst'_4 : CategoryTheory.MonoidalCategory D'} →
{inst'_5 : CategoryTheory.BraidedCategory D'} →
{F' : CategoryTheory.Functor C' D'} →
{t' : F'.Braided} →
C = C' →
inst ≍ inst' →
inst_1 ≍ inst'_1 →
inst_2 ≍ inst'_2 →
D = D' →
inst_3 ≍ inst'_3 →
inst_4 ≍ inst'_4 →
inst_5 ≍ inst'_5 →
F ≍ F' →
t ≍ t' →
CategoryTheory.Functor.Braided.noConfusionType P t t'- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Functor.Monoidalproof · cited by 288
- CategoryTheory.Functor.LaxMonoidal.μproof · cited by 285
- CategoryTheory.BraidedCategory.braidingproof · cited by 257
- CategoryTheory.Functor.Braidedstatement and proof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.Braided.mk.noConfusionproof · cited by 0