Theorems · Theorem · general topology
continuous_coinduced_rng
∀ {α : Type u} {β : Type v} {f : α → β} {t : TopologicalSpace α}, Continuous f- Defined in
- Mathlib.Topology.Order
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- le_rflproof · cited by 1,558
- TopologicalSpace.coinducedstatement · cited by 56
- continuous_iff_coinduced_leproof · cited by 13
Cited by19
Results whose statement or proof uses this declaration.
- continuous_quotient_mk'proof · cited by 18
- continuous_quot_mkproof · cited by 11
- continuous_sigmaMkproof · cited by 8
- denseRange_stoneCechUnitproof · cited by 3
- uCompactlyGeneratedSpace_of_continuous_mapsproof · cited by 3
- LinearMap.continuous_of_isClosed_kerproof · cited by 2
- denseRange_preStoneCechUnitproof · cited by 2
- Topology.IsGeneratedBy.coinducedproof · cited by 2
- AddCircle.continuous_mk'proof · cited by 2
- LocallyPathConnectedSpace.coinducedproof · cited by 2
- SequentialSpace.coinducedproof · cited by 1
- IsFundamentalDomain.AddQuotientMeasureEqMeasurePreimage_AddHaarMeasureproof · cited by 1