Theorems · Theorem · Lie groups
CauchySeq.neg
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] {ι : Type u_3}
[inst_3 : Preorder ι] {u : ι → α}, CauchySeq u → CauchySeq (-u)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- AddGroupstatement and proof · cited by 4,410
- UniformSpacestatement and proof · cited by 2,040
- IsUniformAddGroupstatement and proof · cited by 342
- CauchySeqstatement and proof · cited by 131
- uniformContinuous_negproof · cited by 10
- UniformContinuous.comp_cauchySeqproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Monotone.cauchySeq_series_mul_of_tendsto_zero_of_boundedproof · cited by 2
- Antitone.cauchySeq_series_mul_of_tendsto_zero_of_boundedproof · cited by 1