Theorems · Theorem · Lie groups
Topology.IsInducing.topologicalAddGroup
∀ {G : Type w} {H : Type x} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {F : Type u_1}
[inst_3 : AddGroup H] [inst_4 : TopologicalSpace H] [inst_5 : FunLike F H G] [AddMonoidHomClass F H G] (f : F),
Topology.IsInducing ⇑f → IsTopologicalAddGroup H- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContinuousAddproof · cited by 777
- map_negproof · cited by 378
- Topology.IsInducingstatement and proof · cited by 266
- AddMonoidHomClassstatement and proof · cited by 252
- ContinuousNegproof · cited by 119
- Topology.IsInducing.continuousAddproof · cited by 2
- Topology.IsInducing.continuousNegproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- topologicalAddGroup_inducedproof · cited by 6
- UniformFun.continuousSMul_induced_of_range_boundedproof · cited by 1