FLT/Mathlib/Topology/Algebra/IsUniformGroup/Basic.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Total boundedness for topological groups with small finite-index subgroups
Material destined for Mathlib.
- lemma
IsTopologicalGroup.totallyBoundedline 19 sourcestandard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses:
Group,TopologicalSpace,IsTopologicalGroup,Set,Membership.mem,Filter,nhds,OfNat.ofNat,Exists,Subgroup,And,Subgroup.FiniteIndex,LE.le,TotallyBounded,IsTopologicalGroup.rightUniformSpace,Set.univProof uses:
UniformSpace,Prod,uniformity,Set.preimage,HMul.hMul,Prod.snd,Inv.inv,Prod.fst,Set.Finite,Set.iUnion,Set.ofPred,Prod.mk,Finite,HasQuotient.Quotient,MulOpposite,Subgroup.op,Exists.intro,Set.range,Function.comp,MulOpposite.unopand 25 more36 instances, coercions and auxiliary constants left out.
Tactic trace: 8 steps
Open to load the checked before-and-after goal states.