Theorems · Theorem · Lie groups
IsClosed.inv
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : InvolutiveInv G] [ContinuousInv G] {s : Set G},
IsClosed s → IsClosed s⁻¹- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 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
- TopologicalSpacestatement and proof · cited by 24,529
- IsClosedstatement and proof · cited by 1,639
- IsClosed.preimageproof · cited by 138
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- ContinuousInvstatement and proof · cited by 89
- ContinuousInv.continuous_invproof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- exists_closed_nhds_one_inv_eq_mul_subsetproof · cited by 3
- MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isEverywherePosproof · cited by 1