Theorems · Theorem · Lie groups
Topology.IsInducing.units_map
∀ {M : Type u_1} {N : Type u_2} [inst : TopologicalSpace M] [inst_1 : Monoid M] [inst_2 : TopologicalSpace N]
[inst_3 : Monoid N] {f : M →* N}, Topology.IsInducing ⇑f → Topology.IsInducing ⇑(Units.map f)- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 1 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.
Cites17
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
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement · cited by 2,804
- Homeomorph.symmproof · cited by 365
- Topology.IsInducingstatement and proof · cited by 266
- Units.mapstatement · cited by 95
- Topology.IsInducing.continuousproof · cited by 48
- Homeomorph.isInducingproof · cited by 33
- MulOpposite.opHomeomorphproof · cited by 17
- Topology.IsInducing.compproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsInducing.generalLinearGroup_mapproof · cited by 0