Theorems · Theorem · Lie groups
Continuous.zpow
∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G]
[inst_3 : TopologicalSpace α] {f : α → G}, Continuous f → ∀ (z : ℤ), Continuous (f ^ z)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Groupstatement and proof · cited by 6,238
- Continuousstatement and proof · cited by 2,592
- IsTopologicalGroupstatement and proof · cited by 469
- Continuous.compproof · cited by 371
- continuous_zpowproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Continuous.fun_zpowproof · cited by 0