Theorems · Theorem · general topology
DiscreteQuotient.LEComap.mono
∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : C(X, Y)}
{A A' : DiscreteQuotient X} {B B' : DiscreteQuotient Y},
DiscreteQuotient.LEComap f A B → A' ≤ A → B ≤ B' → DiscreteQuotient.LEComap f A' B'- Defined in
- Mathlib.Topology.DiscreteQuotient
- Cited by
- 4 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.
Cites6
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
- LE.le.transproof · cited by 3,151
- ContinuousMapstatement and proof · cited by 2,491
- DiscreteQuotientstatement and proof · cited by 65
- DiscreteQuotient.LEComapstatement and proof · cited by 12
- DiscreteQuotient.comap_monoproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- DiscreteQuotient.map_ofLEstatement · cited by 1
- DiscreteQuotient.ofLE_mapstatement · cited by 1
- DiscreteQuotient.ofLE_comp_mapstatement · cited by 0
- DiscreteQuotient.map_comp_ofLEstatement · cited by 0