Mathlib Map

Theorems · Theorem · general topology

SeparationQuotient.surjective_mk

∀ {X : Type u_1} [inst : TopologicalSpace X], Function.Surjective SeparationQuotient.mk
Defined in
Mathlib.Topology.Inseparable
Cited by
12 results in Mathlib
Foundations
Depth 32 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.

UniformSpace.Completion.denseRange_coe · cited by 9Completion.denseRange_coeSeparationQuotient.range_mk · cited by 2SeparationQuotient.range_…SeparationQuotient.map_mk_nhds · cited by 2SeparationQuotient.map_mk…SeparationQuotient.norm_liftNormedAddGroupHom_apply_le · cited by 2SeparationQuotient.norm_l…SeparationQuotient.isOpenQuotientMap_mk · cited by 1SeparationQuotient.isOpen…SeparationQuotient.exists_out_continuousLinearMap · cited by 1SeparationQuotient.exists…SeparationQuotient.comap_mk_nhdsSet · cited by 0SeparationQuotient.comap_…SeparationQuotient.completeSpace_iff · cited by 0SeparationQuotient.comple…SeparationQuotient.continuousOn_lift · cited by 0SeparationQuotient.contin…SeparationQuotient.continuousOn_lift₂ · cited by 0SeparationQuotient.contin…SeparationQuotient.map_mk_nhdsSet · cited by 0SeparationQuotient.map_mk…SeparationQuotient.t2Space_iff · cited by 0SeparationQuotient.t2Spac…TopologicalSpace · cited by 24529TopologicalSpaceSeparationQuotient · cited by 128SeparationQuotientSeparationQuotient.mk · cited by 94SeparationQuotient.mkQuot.mk_surjective · cited by 34Quot.mk_surjectiveSeparationQuotient.surjective…CITED BYCITES

Cites4

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

Cited by12

Results whose statement or proof uses this declaration.