Theorems · Theorem · general topology
Filter.neg_atTop
∀ {G : Type u_7} [inst : AddCommGroup G] [inst_1 : Preorder G] [IsOrderedAddMonoid G], -Filter.atTop = Filter.atBot- Defined in
- Mathlib.Order.Filter.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Filterstatement · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Filter.atTopstatement · cited by 2,405
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Filter.atBotstatement · cited by 512
- OrderIso.negproof · cited by 27
- OrderIso.map_atTopproof · cited by 11
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