Theorems · Theorem · group theory

TopRep.d_comp_d_assoc

∀ {k : Type u_1} {G : Type u_2} [inst : Ring k] [inst_1 : Group G] [inst_2 : TopologicalSpace k]
  [inst_3 : TopologicalSpace G] [inst_4 : IsTopologicalGroup G] (X : TopRep k G) (n : ℕ) {Z : TopRep k G}
  (h : X.resolutionX (n + 1 + 1) ⟶ Z),
  CategoryTheory.CategoryStruct.comp (X.d n) (CategoryTheory.CategoryStruct.comp (X.d (n + 1)) h) =
    CategoryTheory.CategoryStruct.comp 0 h

Defined in

Mathlib.RepresentationTheory.Homological.ContCohomology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingGroupTopologicalSpaceTopologicalSpaceIsTopologicalGroup