Theorems · Definition · general topology
Filter.giGenerate
(α : Type u_2) → GaloisInsertion Filter.generate Filter.sets
Galois insertion from sets of sets into filters.
- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Filterstatement and proof · cited by 8,121
- OrderDualstatement and proof · cited by 927
- Filter.setsstatement and proof · cited by 56
- GaloisInsertionstatement · cited by 35
- Filter.generatestatement and proof · cited by 30
- Filter.le_generate_iffproof · cited by 7
- Filter.mkOfClosureproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Filter.iSup_sets_eqproof · cited by 1
- Filter.sSup_sets_eqproof · cited by 0
- Filter.sup_sets_eqproof · cited by 0
- Filter.generate_emptyproof · cited by 0
- Filter.generate_iUnionproof · cited by 0
- Filter.generate_unionproof · cited by 0