Theorems · Theorem · Lie groups
Continuous.of_coeHom_comp
∀ {G : Type w} {H : Type x} [inst : Group G] [inst_1 : Monoid H] [inst_2 : TopologicalSpace G]
[inst_3 : TopologicalSpace H] [ContinuousInv G] {f : G →* Hˣ}, Continuous ⇑((Units.coeHom H).comp f) → Continuous ⇑f- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 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
- Groupstatement and proof · cited by 6,238
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Continuousstatement and proof · cited by 2,592
- Units.valproof · cited by 1,966
- MulOpposite.opproof · cited by 520
- MonoidHom.compstatement and proof · cited by 469
- Continuous.compproof · cited by 371
- ContinuousInvstatement and proof · cited by 89
Cited by1
Results whose statement or proof uses this declaration.
- cyclotomicCharacter.continuousproof · cited by 0