Theorems · Theorem · Lie groups
IsCompact.add
∀ {N : Type u_4} [inst : TopologicalSpace N] [inst_1 : Add N] [ContinuousAdd N] {s t : Set N},
IsCompact s → IsCompact t → IsCompact (s + t)- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 81 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
- ContinuousAddstatement and proof · cited by 777
- Set.addstatement · cited by 338
- IsCompact.imageproof · cited by 105
- continuous_addproof · cited by 47
- IsCompact.prodproof · cited by 26
- Set.add_image_prodproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- HasCompactSupport.hasFDerivAt_convolution_rightproof · cited by 2
- MeasureTheory.hasFDerivAt_convolution_right_with_paramproof · cited by 1
- IsCompactOperator.addproof · cited by 1
- exists_disjoint_vadd_of_isCompactproof · cited by 1
- HasCompactSupport.convolutionproof · cited by 0