Theorems · Theorem · Lie groups
continuous_zpow
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] (z : ℤ), Continuous fun a => a ^ z- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- zpow_natCastproof · cited by 271
- zpow_negSuccproof · cited by 92
- continuous_powproof · cited by 15
- Continuous.fun_invproof · cited by 7
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurePreserving_zpowproof · cited by 1
- Circle.isQuotientCoveringMap_zpowproof · cited by 1
- continuousAt_zpowproof · cited by 1
- Continuous.zpowproof · cited by 1
- MeasureTheory.AEEqFun.coeFn_zpowproof · cited by 0
- continuousOn_zpowproof · cited by 0
- MeasureTheory.AEEqFun.zpow_toGermproof · cited by 0
- MeasureTheory.AEEqFun.mk_zpowstatement · cited by 0