Theorems · Theorem · Lie groups
addGroup_inseparable_iff
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {x y : G},
Inseparable x y ↔ x - y ∈ closure 0- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closurestatement and proof · cited by 1,254
- sub_eq_add_negproof · cited by 1,023
- add_neg_cancelproof · cited by 213
- Inseparablestatement and proof · cited by 160
- Set.zerostatement · cited by 87
- Homeomorph.isEmbeddingproof · cited by 73
- Topology.IsEmbedding.toIsInducingproof · cited by 48
- Homeomorph.addRightproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- UniformSpace.inseparableSetoid_ringproof · cited by 0