Theorems · Theorem · general topology

DiscreteQuotient.map_comp

∀ {X : Type u_2} {Y : Type u_3} {Z : Type u_4} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] {f : C(X, Y)} {A : DiscreteQuotient X} {B : DiscreteQuotient Y} {g : C(Y, Z)}
  {C : DiscreteQuotient Z} (h1 : DiscreteQuotient.LEComap g B C) (h2 : DiscreteQuotient.LEComap f A B),
  DiscreteQuotient.map (g.comp f) ⋯ = DiscreteQuotient.map g h1 ∘ DiscreteQuotient.map f h2

Defined in

Mathlib.Topology.DiscreteQuotient

Cited by

0 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace