Theorems · Inductive type · Lie groups
ContinuousInv
(G : Type u) → [TopologicalSpace G] → [Inv G] → Prop
Basic hypothesis to talk about a topological group. A topological group over M, for example,
is obtained by requiring the instances Group M and ContinuousMul M and
ContinuousInv M.
- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 89 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpaceInv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by96
Results whose statement or proof uses this declaration.
- ContinuousInv.continuous_invstatement and proof · cited by 27
- Homeomorph.invstatement and proof · cited by 21
- Continuous.fun_invstatement · cited by 7
- Filter.Tendsto.invstatement and proof · cited by 7
- MeasureTheory.StronglyMeasurable.invstatement and proof · cited by 6
- tendsto_inv_iffstatement and proof · cited by 6
- IsClosed.smul_left_of_isCompactstatement and proof · cited by 5
- MeasureTheory.AEStronglyMeasurable.invstatement and proof · cited by 4
- Continuous.invstatement and proof · cited by 4
- IsOpen.invstatement and proof · cited by 4
- IsCompact.invstatement and proof · cited by 4
- Path.invstatement and proof · cited by 3