Theorems · Theorem · general topology
Filter.tendsto_finset_preimage_atTop_atTop
∀ {α : Type u_3} {β : Type u_4} {f : α → β} (hf : Function.Injective f),
Filter.Tendsto (fun s => s.preimage f ⋯) Filter.atTop Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Finset
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.preimagestatement · cited by 4,946
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- Function.Injective.injOnstatement · cited by 280
- Finset.preimagestatement · cited by 108
- Finset.mem_singleton_selfproof · cited by 44
- Finset.mem_preimageproof · cited by 12
- Monotone.tendsto_atTop_finsetproof · cited by 3
- Finset.monotone_preimageproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- HasSum.sigmaproof · cited by 8
- HasProd.sigmaproof · cited by 5
- HasSum.of_sigmaproof · cited by 1
- HasProd.of_sigmaproof · cited by 0