Theorems · Theorem · algebraic topology

FundamentalGroupoid.conj_eqToHom_assoc

∀ {X : Type u_1} [inst : TopologicalSpace X] {x y x' y' : X} {p : Path.Homotopic.Quotient x y} (hx : x' = x)
  (hy : y' = y) {Z : FundamentalGroupoid X} (h : { as := y' } ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom ⋯)
      (CategoryTheory.CategoryStruct.comp p (CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom ⋯) h)) =
    CategoryTheory.CategoryStruct.comp (p.cast hx hy) h

Defined in

Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic

Cited by

0 results in Mathlib

Foundations

Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace