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Theorems · Theorem · Lie groups

ContinuousAt.fun_inv

∀ {G : Type u_1} {X : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace G] [inst_2 : Inv G]
  [ContinuousInv G] {f : X → G} {x : X}, ContinuousAt f x → ContinuousAt (fun i => (f i)⁻¹) x

Eta-expanded form of ContinuousAt.inv

Defined in
Mathlib.Topology.Algebra.Group.Defs
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Foundations
Depth 61 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceInvContinuousInv
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TopologicalSpace · cited by 24529TopologicalSpaceContinuousAt · cited by 697ContinuousAtContinuousInv · cited by 89ContinuousInvContinuousAt.inv · cited by 2ContinuousAt.invContinuousAt.fun_invCITED BYCITES

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