Theorems · Theorem · Lie groups
topologicalGroup_induced
∀ {G : Type w} {H : Type x} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] {F : Type u_1}
[inst_3 : Group H] [inst_4 : FunLike F H G] [MonoidHomClass F H G] (f : F), IsTopologicalGroup H- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- FunLikestatement and proof · cited by 2,560
- IsTopologicalGroupstatement and proof · cited by 469
- MonoidHomClassstatement and proof · cited by 244
- TopologicalSpace.inducedstatement · cited by 148
- Topology.IsInducing.topologicalGroupproof · cited by 1
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