Mathlib Map

Theorems · Definition · general topology

DiscreteQuotient.ofLE

{X : Type u_2} →
  [inst : TopologicalSpace X] → {A B : DiscreteQuotient X} → A ≤ B → Quotient A.toSetoid → Quotient B.toSetoid

The map induced by a refinement of a discrete quotient.

Defined in
Mathlib.Topology.DiscreteQuotient
Cited by
14 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DiscreteQuotient.ofLE_proj · cited by 2DiscreteQuotient.ofLE_projProfinite.fintypeDiagram · cited by 1Profinite.fintypeDiagramDiscreteQuotient.fiber_subset_ofLE · cited by 1DiscreteQuotient.fiber_su…DiscreteQuotient.map_ofLE · cited by 1DiscreteQuotient.map_ofLEDiscreteQuotient.ofLE_map · cited by 1DiscreteQuotient.ofLE_mapDiscreteQuotient.ofLE_ofLE · cited by 1DiscreteQuotient.ofLE_ofLEDiscreteQuotient.ofLE_refl · cited by 1DiscreteQuotient.ofLE_reflDiscreteQuotient.exists_of_compat · cited by 0DiscreteQuotient.exists_o…DiscreteQuotient.ofLE.congr_simp · cited by 0ofLE.congr_simpDiscreteQuotient.map_comp_ofLE · cited by 0DiscreteQuotient.map_comp…DiscreteQuotient.ofLE_comp_map · cited by 0DiscreteQuotient.ofLE_com…DiscreteQuotient.ofLE_comp_ofLE · cited by 0DiscreteQuotient.ofLE_com…DiscreteQuotient.ofLE_comp_proj · cited by 0DiscreteQuotient.ofLE_com…DiscreteQuotient.ofLE_continuous · cited by 0DiscreteQuotient.ofLE_con…DiscreteQuotient.ofLE_refl_apply · cited by 0DiscreteQuotient.ofLE_ref…TopologicalSpace · cited by 24529TopologicalSpaceDiscreteQuotient · cited by 65DiscreteQuotientDiscreteQuotient.toSetoid · cited by 45DiscreteQuotient.toSetoidQuotient.map' · cited by 18Quotient.map'DiscreteQuotient.ofLECITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by15

Results whose statement or proof uses this declaration.