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Theorems · Theorem · Lie groups

CauchySeq.mul

∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {ι : Type u_3} [inst_3 : Preorder ι]
  {u v : ι → α}, CauchySeq u → CauchySeq v → CauchySeq (u * v)
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Basic
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceGroupIsUniformGroupPreorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

cauchySeq_prod_of_eventually_eq · cited by 0cauchySeq_prod_of_eventua…Preorder · cited by 7952PreorderGroup · cited by 6238GroupUniformSpace · cited by 2040UniformSpaceIsUniformGroup · cited by 145IsUniformGroupCauchySeq · cited by 131CauchySeqUniformContinuous.comp_cauchySeq · cited by 10UniformContinuous.comp_ca…uniformContinuous_mul · cited by 8uniformContinuous_mulCauchySeq.prodMk · cited by 2CauchySeq.prodMkCauchySeq.mulCITED BYCITES

Cites8

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Cited by1

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