Theorems · Theorem · order theory
Filter.comap_mabs_atTop
∀ {G : Type u_2} [inst : CommGroup G] [inst_1 : LinearOrder G] [IsOrderedMonoid G],
Filter.comap mabs Filter.atTop = Filter.atBot ⊔ Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Group
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- Set.preimageproof · cited by 4,946
- Filter.atTopstatement · cited by 2,405
- le_antisymmproof · cited by 2,068
- Set.Iciproof · cited by 1,070
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- Filter.comapstatement · cited by 546
- Filter.atBotstatement · cited by 512
- inv_invproof · cited by 494
- Set.mem_preimageproof · cited by 190
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