Theorems · Theorem · order theory
Filter.comap_abs_atTop
∀ {G : Type u_2} [inst : AddCommGroup G] [inst_1 : LinearOrder G] [IsOrderedAddMonoid G],
Filter.comap abs Filter.atTop = Filter.atBot ⊔ Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Group
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
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
- 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
- absstatement and proof · cited by 1,814
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Iciproof · cited by 1,070
- neg_negproof · cited by 960
- Filter.comapstatement · cited by 546
- Filter.atBotstatement · cited by 512
Cited by2
Results whose statement or proof uses this declaration.
- PhragmenLindelof.quadrant_Iproof · cited by 4
- tendsto_rpow_abs_mul_exp_neg_mul_sq_cocompactproof · cited by 0