Theorems · Theorem · general topology
ENNReal.tendsto_inv_iff
Deprecated since 2026-01-15Use tendsto_inv_iff instead.
∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : InvolutiveInv G] [ContinuousInv G] {l : Filter α}
{m : α → G} {a : G}, Filter.Tendsto (fun x => (m x)⁻¹) l (nhds a⁻¹) ↔ Filter.Tendsto m l (nhds a)Alias of tendsto_inv_iff.
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- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- InvolutiveInvstatement · cited by 102
- ContinuousInvstatement · cited by 89
- tendsto_inv_iffproof · cited by 6
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