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Theorems · Theorem · Lie groups

IsTopologicalGroup.ext

∀ {G : Type u_1} [inst : Group G] {t t' : TopologicalSpace G},
  IsTopologicalGroup G → IsTopologicalGroup G → nhds 1 = nhds 1 → t = t'
Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
1 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
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Around this declaration

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IsTopologicalGroup.ext_iff · cited by 0IsTopologicalGroup.ext_iffTopologicalSpace · cited by 24529TopologicalSpaceFilter · cited by 8121FilterGroup · cited by 6238Groupnhds · cited by 5554nhdsFilter.comap · cited by 546Filter.comapIsTopologicalGroup · cited by 469IsTopologicalGroupTopologicalSpace.ext_nhds · cited by 10TopologicalSpace.ext_nhdsnhds_translation_mul_inv · cited by 4nhds_translation_mul_invIsTopologicalGroup.extCITED BYCITES

Cites8

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Cited by1

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