Theorems · Definition · general topology
DiscreteQuotient.map
{X : Type u_2} →
{Y : Type u_3} →
[inst : TopologicalSpace X] →
[inst_1 : TopologicalSpace Y] →
{A : DiscreteQuotient X} →
{B : DiscreteQuotient Y} →
(f : C(X, Y)) → DiscreteQuotient.LEComap f A B → Quotient A.toSetoid → Quotient B.toSetoidMap a discrete quotient along a continuous map.
- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement and proof · cited by 2,491
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.toSetoidstatement · cited by 45
- Quotient.map'proof · cited by 18
- DiscreteQuotient.LEComapstatement and proof · cited by 12
Cited by9
Results whose statement or proof uses this declaration.
- DiscreteQuotient.map_ofLEstatement and proof · cited by 1
- DiscreteQuotient.ofLE_mapstatement and proof · cited by 1
- DiscreteQuotient.map_compstatement and proof · cited by 0
- DiscreteQuotient.map_comp_ofLEstatement · cited by 0
- DiscreteQuotient.map_comp_projstatement · cited by 0
- DiscreteQuotient.map_continuousstatement · cited by 0
- DiscreteQuotient.map_idstatement and proof · cited by 0
- DiscreteQuotient.map_projstatement · cited by 0
- DiscreteQuotient.ofLE_comp_mapstatement · cited by 0