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Theorems · Theorem · general topology

Continuous.coinduced_le

∀ {α : Type u_1} {β : Type u_2} {t : TopologicalSpace α} {t' : TopologicalSpace β} {f : α → β},
  Continuous f → TopologicalSpace.coinduced f t ≤ t'
Defined in
Mathlib.Topology.Order
Cited by
4 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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Continuous.le_induced · cited by 8Continuous.le_inducedTopology.IsGeneratedBy.coinduced · cited by 2IsGeneratedBy.coinducedMeasureTheory.LevyProkhorov.le_convergenceInDistribution · cited by 1LevyProkhorov.le_converge…Topology.IsCoinducing.of_comp · cited by 1IsCoinducing.of_compTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousTopologicalSpace.coinduced · cited by 56TopologicalSpace.coinducedcontinuous_def · cited by 21continuous_defContinuous.coinduced_leCITED BYCITES

Cites4

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Cited by4

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