Theorems · Theorem · general topology

DiscreteQuotient.LEComap.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},
  DiscreteQuotient.LEComap g B C → DiscreteQuotient.LEComap f A B → DiscreteQuotient.LEComap (g.comp f) A C

Defined in

Mathlib.Topology.DiscreteQuotient

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace