Theorems · Theorem · Lie groups
IsCompact.neg
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : InvolutiveNeg G] [ContinuousNeg G] {s : Set G},
IsCompact s → IsCompact (-s)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- IsCompactstatement and proof · cited by 1,282
- Set.negstatement · cited by 168
- InvolutiveNegstatement and proof · cited by 151
- ContinuousNegstatement and proof · cited by 119
- IsCompact.imageproof · cited by 105
- Set.image_neg_eq_negproof · cited by 52
- ContinuousNeg.continuous_negproof · cited by 37
Cited by8
Results whose statement or proof uses this declaration.
- HasCompactSupport.hasFDerivAt_convolution_rightproof · cited by 2
- MeasureTheory.continuousOn_convolution_right_with_paramproof · cited by 2
- MeasureTheory.hasFDerivAt_convolution_right_with_paramproof · cited by 1
- IsCompactOperator.negproof · cited by 1
- MeasureTheory.continuous_integral_apply_neg_addproof · cited by 1
- exists_disjoint_vadd_of_isCompactproof · cited by 1
- IsCompact.closedBall_zero_subproof · cited by 0