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Theorems · Theorem · Lie groups

ContinuousAt.of_inv

∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : InvolutiveInv G] [ContinuousInv G]
  [inst_3 : TopologicalSpace α] {f : α → G} {x : α}, ContinuousAt f⁻¹ x → ContinuousAt f x

Alias of the forward direction of continuousAt_inv_iff.

Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
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Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceInvolutiveInvContinuousInvTopologicalSpace
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TopologicalSpace · cited by 24529TopologicalSpaceContinuousAt · cited by 697ContinuousAtInvolutiveInv · cited by 102InvolutiveInvContinuousInv · cited by 89ContinuousInvcontinuousAt_inv_iff · cited by 1continuousAt_inv_iffContinuousAt.of_invCITED BYCITES

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