Theorems · Theorem · category theory

CategoryTheory.GlueData.t_inv_assoc

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v, u₁} C] (D : CategoryTheory.GlueData C) (i j : D.J) {Z : C}
  (h : D.V (i, j) ⟶ Z),
  CategoryTheory.CategoryStruct.comp (D.t i j) (CategoryTheory.CategoryStruct.comp (D.t j i) h) = h

Defined in: Mathlib.CategoryTheory.GlueData
Cited by: 2 results in Mathlib
Foundations: Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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Cites10

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 and proof · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
CategoryTheory.Category.assocproof · cited by 6,433
CategoryTheory.Category.id_compproof · cited by 1,998
CategoryTheory.GlueData.Jstatement and proof · cited by 141
CategoryTheory.GlueData.Vstatement and proof · cited by 88
CategoryTheory.GlueDatastatement and proof · cited by 60
CategoryTheory.GlueData.tstatement and proof · cited by 44
CategoryTheory.GlueData.t_invproof · cited by 6

Cited by2

Results whose statement or proof uses this declaration.

TopCat.GlueData.rel_equivproof · cited by 1
TopCat.GlueData.preimage_image_eq_image'proof · cited by 1