Theorems · Theorem · general topology
IsCompact.vadd
∀ {α : Type u_4} {β : Type u_5} [inst : VAdd α β] [inst_1 : TopologicalSpace β] [ContinuousConstVAdd α β] (a : α)
{s : Set β}, IsCompact s → IsCompact (a +ᵥ s)- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 5 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.
Cites10
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
- HVAdd.hVAddstatement · cited by 1,820
- IsCompactstatement and proof · cited by 1,282
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- continuous_idproof · cited by 192
- IsCompact.imageproof · cited by 105
- ContinuousConstVAddstatement and proof · cited by 97
- Continuous.const_vaddproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- IsCompact.locallyCompactSpace_of_mem_nhds_of_addGroupproof · cited by 5
- MeasureTheory.measure_univ_of_isAddLeftInvariantproof · cited by 2
- FiniteDimensional.of_isCompact_closedBallproof · cited by 1
- IsRightUniformAddGroup.completeSpace_of_weaklyLocallyCompactSpaceproof · cited by 0