Theorems · Theorem · Lie groups
MulOpposite.map_op_nhds
∀ {M : Type u_1} [inst : TopologicalSpace M] (x : M), Filter.map MulOpposite.op (nhds x) = nhds (MulOpposite.op x)- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- MulOppositestatement · cited by 1,135
- Filter.mapstatement · cited by 819
- MulOpposite.opstatement · cited by 520
- Homeomorph.map_nhds_eqproof · cited by 31
- MulOpposite.opHomeomorphproof · cited by 17
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