Theorems · Theorem · Lie groups
IsClosed.add_right_of_isCompact
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {s t : Set G},
IsClosed t → IsCompact s → IsClosed (t + s)- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddGroupstatement and proof · cited by 4,410
- IsClosedstatement and proof · cited by 1,639
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- IsCompactstatement and proof · cited by 1,282
- Set.addstatement · cited by 338
- IsCompact.imageproof · cited by 105
- IsClosed.vadd_left_of_isCompactproof · cited by 5
- AddOpposite.continuous_opproof · cited by 3
- Set.image_op_vaddproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- QuotientAddGroup.isClosedMap_coeproof · cited by 0