Mathlib Map

Theorems · Inductive type · general topology

Filter.GenerateSets

{α : Type u} → Set (Set α) → Set α → Prop

GenerateSets g s: s is in the filter closure of g.

Defined in
Mathlib.Order.Filter.Basic
Cited by
3 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Filter.generate · cited by 30Filter.generateFilter.le_generate_iff · cited by 7Filter.le_generate_iffFilter.GenerateSets.recOn · cited by 1GenerateSets.recOnFilter.mem_generate_iff · cited by 1Filter.mem_generate_iffFilter.GenerateSets.below · cited by 1GenerateSets.belowFilter.GenerateSets.below.casesOn · cited by 0below.casesOnFilter.GenerateSets.brecOn · cited by 0GenerateSets.brecOnFilter.GenerateSets.casesOn · cited by 0GenerateSets.casesOnSet · cited by 53352SetFilter.GenerateSetsCITED BYCITES

Cites1

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

  • Setstatement · cited by 53,352

Cited by8

Results whose statement or proof uses this declaration.