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Theorems · Theorem · general topology

DilationEquiv.map_cobounded

∀ {X : Type u_1} {Y : Type u_2} {F : Type u_3} [inst : PseudoMetricSpace X] [inst_1 : PseudoMetricSpace Y]
  [inst_2 : EquivLike F X Y] [DilationEquivClass F X Y] (e : F),
  Filter.map (⇑e) (Bornology.cobounded X) = Bornology.cobounded Y
Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
2 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpacePseudoMetricSpaceEquivLikeDilationEquivClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.map_mul_left_cobounded · cited by 1Filter.map_mul_left_cobou…Filter.map_mul_right_cobounded · cited by 1Filter.map_mul_right_cobo…DFunLike.coe · cited by 62936DFunLike.coeFilter · cited by 8121FilterPseudoMetricSpace · cited by 1550PseudoMetricSpaceFilter.map · cited by 819Filter.mapEquivLike · cited by 165EquivLikeBornology.cobounded · cited by 162Bornology.coboundedEquivLike.surjective · cited by 24EquivLike.surjectiveFilter.map_comap_of_surjective · cited by 11Filter.map_comap_of_surje…Dilation.comap_cobounded · cited by 3Dilation.comap_coboundedDilationEquivClass · cited by 2DilationEquivClassDilationEquiv.map_coboundedCITED BYCITES

Cites10

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

Cited by2

Results whose statement or proof uses this declaration.