Theorems · Theorem · general topology
Filter.NeBot.nonpos_iff
∀ {α : Type u_2} [inst : Zero α] {f : Filter α}, f.NeBot → (f ≤ 0 ↔ f = 0)- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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- Filterstatement and proof · cited by 8,121
- Filter.NeBotstatement and proof · cited by 853
- Filter.NeBot.le_pure_iffproof · cited by 9
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