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Theorems · Theorem · Lie groups

ContinuousOn.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} {s : Set X}, ContinuousOn f s → ContinuousOn (fun i => (f i)⁻¹) s

Eta-expanded form of ContinuousOn.inv

Defined in
Mathlib.Topology.Algebra.Group.Defs
Cited by
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Foundations
Depth 62 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceInvContinuousInv
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Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceContinuousOn · cited by 1411ContinuousOnContinuousInv · cited by 89ContinuousInvContinuousOn.inv · cited by 1ContinuousOn.invContinuousOn.fun_invCITED BYCITES

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