Theorems · Theorem · Lie groups
topologicalAddGroup_iInf
∀ {G : Type w} {ι : Sort u_1} [inst : AddGroup G] {ts' : ι → TopologicalSpace G},
(∀ (i : ι), IsTopologicalAddGroup G) → IsTopologicalAddGroup G- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- TopologicalSpacestatement and proof · cited by 24,529
- AddGroupstatement and proof · cited by 4,410
- iInfstatement · cited by 1,690
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- Set.forall_mem_rangeproof · cited by 135
- sInf_rangeproof · cited by 17
- topologicalAddGroup_sInfproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- withSeminorms_iInfproof · cited by 3
- SeminormFamily.withSeminorms_iff_topologicalSpace_eq_iInfproof · cited by 3
- LinearMap.mem_span_iff_continuousproof · cited by 1
- LinearMap.mem_span_iff_boundproof · cited by 0
- topologicalAddGroup_infproof · cited by 0