Theorems · Theorem · general topology
Filter.bot_ne_hyperfilter
∀ {α : Type u} [inst : Infinite α], ⊥ ≠ ↑(Filter.hyperfilter α)- Defined in
- Mathlib.Order.Filter.Ultrafilter.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Bot.botstatement · cited by 4,720
- Infinitestatement and proof · cited by 352
- Ultrafilter.toFilterstatement · cited by 172
- Filter.hyperfilterstatement · cited by 30
- Filter.NeBot.neproof · cited by 17
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