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Theorems · Theorem · Lie groups

continuousAt_pow

∀ {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : Monoid M] [ContinuousMul M] (x : M) (n : ℕ),
  ContinuousAt (fun x => x ^ n) x
Defined in
Mathlib.Topology.Algebra.Monoid
Cited by
2 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceMonoidContinuousMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Filter.Tendsto.pow · cited by 16Tendsto.powcontinuousAt_zpow₀ · cited by 3continuousAt_zpow₀TopologicalSpace · cited by 24529TopologicalSpaceMonoid · cited by 3887MonoidContinuousAt · cited by 697ContinuousAtContinuousMul · cited by 343ContinuousMulContinuous.continuousAt · cited by 297Continuous.continuousAtcontinuous_pow · cited by 15continuous_powcontinuousAt_powCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.