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Theorems · Theorem · general topology

SetRel.IsCover.mono_entourage

∀ {X : Type u_1} {U V : SetRel X X} {s N : Set X}, U ⊆ V → U.IsCover s N → V.IsCover s N
Defined in
Mathlib.Data.Rel.Cover
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Dynamics.IsDynCoverOf.of_entourage_subset · cited by 4IsDynCoverOf.of_entourage…Metric.IsCover.mono_radius · cited by 2IsCover.mono_radiusDynamics.IsDynCoverOf.of_le · cited by 1IsDynCoverOf.of_leSet · cited by 53352SetSetRel · cited by 581SetRelSetRel.IsCover · cited by 17SetRel.IsCoverIsCover.mono_entourageCITED BYCITES

Cites3

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

  • Setstatement and proof · cited by 53,352
  • SetRelstatement and proof · cited by 581
  • SetRel.IsCoverstatement and proof · cited by 17

Cited by3

Results whose statement or proof uses this declaration.