Theorems · Theorem · general topology
tendsto_const_add_cobounded
∀ {R : Type u_1} [inst : SeminormedAddCommGroup R] (x : R),
Filter.Tendsto (fun x_1 => x + x_1) (Bornology.cobounded R) (Bornology.cobounded R)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.preimageproof · cited by 4,946
- Filter.Tendstostatement · cited by 3,814
- Compl.complproof · cited by 2,925
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Set.extproof · cited by 2,266
- neg_negproof · cited by 960
- Bornology.IsBoundedproof · cited by 293
- Bornologyproof · cited by 188
- Bornology.coboundedstatement and proof · cited by 162
- Filter.mem_mapproof · cited by 63
- Set.image_add_leftproof · cited by 44
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_const_sub_coboundedproof · cited by 1