Theorems · Theorem · general topology
Filter.tendsto_card_atTop_atTop
∀ {α : Type u_3} [Infinite α], Filter.Tendsto Finset.card Filter.atTop Filter.atTopFinset.card tends to atTop along atTop on Finset α, when α is infinite.
- Defined in
- Mathlib.Order.Filter.AtTopBot.Finset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Filterproof · cited by 8,121
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Finset.cardstatement and proof · cited by 2,327
- le_reflproof · cited by 2,061
- Infinitestatement and proof · cited by 352
- Filter.map_card_atTopproof · cited by 2
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