Theorems · Theorem · general topology

DiscreteQuotient.map_proj

∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : C(X, Y)}
  {A : DiscreteQuotient X} {B : DiscreteQuotient Y} (cond : DiscreteQuotient.LEComap f A B) (x : X),
  DiscreteQuotient.map f cond (A.proj x) = B.proj (f x)

Defined in

Mathlib.Topology.DiscreteQuotient

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpace