Theorems · Theorem · Lie groups
comap_mabs_nhds_one
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : CommGroup G] [inst_2 : LinearOrder G] [IsOrderedMonoid G]
[OrderTopology G], Filter.comap mabs (nhds 1) = nhds 1- Defined in
- Mathlib.Topology.Algebra.Order.Group
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- Set.ofPredproof · cited by 6,101
- nhdsstatement · cited by 5,554
- iInfproof · cited by 1,690
- OrderTopologystatement and proof · cited by 1,355
- CommGroupstatement and proof · cited by 990
- Filter.principalproof · cited by 740
- one_divproof · cited by 624
- IsOrderedMonoidstatement and proof · cited by 577
- Filter.comapstatement and proof · cited by 546
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_one_iff_mabs_tendsto_oneproof · cited by 0