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Theorems · Theorem · general topology

SetRel.IsCover.empty

∀ {X : Type u_1} {U : SetRel X X} {N : Set X}, U.IsCover ∅ N
Defined in
Mathlib.Data.Rel.Cover
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Dynamics.isDynCoverOf_empty · cited by 1Dynamics.isDynCoverOf_emp…Metric.IsCover.empty · cited by 0IsCover.emptySet · cited by 53352SetSetRel · cited by 581SetRelSetRel.IsCover · cited by 17SetRel.IsCoverIsCover.emptyCITED 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 · cited by 17

Cited by2

Results whose statement or proof uses this declaration.