Theorems · Theorem · order theory
Filter.comap_neg_atBot
∀ {G : Type u_2} [inst : AddCommGroup G] [inst_1 : PartialOrder G] [IsOrderedAddMonoid G],
Filter.comap Neg.neg Filter.atBot = Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Group
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- PartialOrderstatement and proof · cited by 6,410
- Filter.atTopstatement · cited by 2,405
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Filter.comapstatement · cited by 546
- Filter.atBotstatement · cited by 512
- OrderIso.negproof · cited by 27
- OrderIso.comap_atTopproof · cited by 6
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