Theorems · Theorem · Lie groups
subset_add_closure_zero
∀ {G : Type u_1} [inst : AddZeroClass G] [inst_1 : TopologicalSpace G] (s : Set G), s ⊆ s + closure {0}- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClassTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- LE.le.transproof · cited by 3,151
- add_zeroproof · cited by 2,707
- closurestatement · cited by 1,254
- AddZeroClassstatement and proof · cited by 1,237
- Set.image_congrproof · cited by 533
- Set.addstatement · cited by 338
- subset_closureproof · cited by 309
- Set.image_id'proof · cited by 86
- Set.add_singletonproof · cited by 16
- Set.vadd_subset_vadd_leftproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- compl_add_closure_zero_eqproof · cited by 1
- IsClosed.add_closure_zero_eqproof · cited by 1
- MeasureTheory.measure_add_closure_zeroproof · cited by 0
- IsCompact.add_closure_zero_eq_closureproof · cited by 0