Mathlib Map

Theorems · Theorem · general topology

SeparationQuotient.continuous_mk

∀ {X : Type u_1} [inst : TopologicalSpace X], Continuous SeparationQuotient.mk
Defined in
Mathlib.Topology.Inseparable
Cited by
9 results in Mathlib
Foundations
Depth 68 from the axioms · uses propext, Classical.choice, 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.isInducing_mk · cited by 7SeparationQuotient.isIndu…SeparationQuotient.isEmbedding_outCLM · cited by 1SeparationQuotient.isEmbe…SeparationQuotient.isOpenQuotientMap_mk · cited by 1SeparationQuotient.isOpen…IsDenseInducing.isUniformInducing_extend · cited by 1IsDenseInducing.isUniform…SeparationQuotient.preimage_mk_closure · cited by 0SeparationQuotient.preima…SeparationQuotient.preimage_mk_frontier · cited by 0SeparationQuotient.preima…SeparationQuotient.preimage_mk_interior · cited by 0SeparationQuotient.preima…SeparationQuotient.image_mk_closure · cited by 0SeparationQuotient.image_…TopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousSeparationQuotient · cited by 128SeparationQuotientSeparationQuotient.mk · cited by 94SeparationQuotient.mkcontinuous_quot_mk · cited by 11continuous_quot_mkSeparationQuotient.continuous…CITED BYCITES

Cites5

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

Cited by9

Results whose statement or proof uses this declaration.