Theorems · Theorem · general topology
continuous_quot_mk
∀ {X : Type u} [inst : TopologicalSpace X] {r : X → X → Prop}, Continuous (Quot.mk r)- Defined in
- Mathlib.Topology.Constructions
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Continuousstatement · cited by 2,592
- continuous_coinduced_rngproof · cited by 19
Cited by11
Results whose statement or proof uses this declaration.
- SeparationQuotient.continuous_mkproof · cited by 9
- MulAction.isOpenQuotientMap_quotientMkproof · cited by 2
- AddAction.isOpenQuotientMap_quotientMkproof · cited by 2
- LinearMap.continuous_of_isClosed_kerproof · cited by 2
- continuous_preStoneCechUnitproof · cited by 1
- Submodule.isClosed_mono_of_finiteDimensional_quotientproof · cited by 1
- Submodule.isClosed_sup_finiteDimensionalproof · cited by 1
- QuotientGroup.continuous_mkproof · cited by 1
- QuotientAddGroup.continuous_mkproof · cited by 1
- continuous_quot_mapproof · cited by 0
- Submodule.continuous_mkQproof · cited by 0