Theorems · Theorem · general topology

DiscreteQuotient.ofLE_map

∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : C(X, Y)}
  {A : DiscreteQuotient X} {B B' : DiscreteQuotient Y} (cond : DiscreteQuotient.LEComap f A B) (h : B ≤ B')
  (a : Quotient A.toSetoid), DiscreteQuotient.ofLE h (DiscreteQuotient.map f cond a) = DiscreteQuotient.map f ⋯ a

Defined in

Mathlib.Topology.DiscreteQuotient

Cited by

1 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpace