Theorems · Definition · Lie groups
AddGroupFilterBasis.N
{G : Type u} → [inst : AddGroup G] → AddGroupFilterBasis G → G → Filter GThe neighborhood function of an AddGroupFilterBasis.
- Defined in
- Mathlib.Topology.Algebra.FilterBasis
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- AddGroupstatement and proof · cited by 4,410
- Filter.mapproof · cited by 819
- AddGroupFilterBasis.toFilterBasisproof · cited by 32
- AddGroupFilterBasisstatement and proof · cited by 27
- FilterBasis.filterproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- AddGroupFilterBasis.topologyproof · cited by 7
- AddGroupFilterBasis.nhds_eqstatement · cited by 3
- AddGroupFilterBasis.hasBasisstatement · cited by 1
- AddGroupFilterBasis.N_zerostatement · cited by 1