Theorems · Definition · general topology
DiscreteQuotient.LEComap
{X : Type u_2} →
{Y : Type u_3} →
[inst : TopologicalSpace X] →
[inst_1 : TopologicalSpace Y] → C(X, Y) → DiscreteQuotient X → DiscreteQuotient Y → PropGiven f : C(X, Y), DiscreteQuotient.LEComap f A B is defined as
A ≤ B.comap f. Mathematically this means that f descends to a morphism A → B.
- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement and proof · cited by 2,491
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.comapproof · cited by 3
Cited by13
Results whose statement or proof uses this declaration.
- DiscreteQuotient.mapstatement and proof · cited by 9
- DiscreteQuotient.LEComap.monostatement and proof · cited by 4
- DiscreteQuotient.leComap_idstatement · cited by 1
- DiscreteQuotient.map_ofLEstatement and proof · cited by 1
- DiscreteQuotient.LEComap.compstatement and proof · cited by 1
- DiscreteQuotient.ofLE_mapstatement and proof · cited by 1
- DiscreteQuotient.leComap_id_iffstatement · cited by 0
- DiscreteQuotient.map_compstatement and proof · cited by 0
- DiscreteQuotient.map_comp_ofLEstatement and proof · cited by 0
- DiscreteQuotient.map_comp_projstatement and proof · cited by 0
- DiscreteQuotient.map_continuousstatement and proof · cited by 0
- DiscreteQuotient.map_projstatement and proof · cited by 0