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Theorems · Theorem · Lie groups

IsUniformGroup.of_left_right

∀ {β : Type u_2} [inst : UniformSpace β] [inst_1 : Group β] [IsLeftUniformGroup β] [IsRightUniformGroup β],
  IsUniformGroup β
Defined in
Mathlib.Topology.Algebra.IsUniformGroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceGroupIsLeftUniformGroupIsRightUniformGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

isUniformGroup_iff_left_right · cited by 0isUniformGroup_iff_left_r…Filter · cited by 8121FilterGroup · cited by 6238Groupnhds · cited by 5554nhdsFilter.Tendsto · cited by 3814Filter.Tendstoone_mul · cited by 2841one_mulUniformSpace · cited by 2040UniformSpaceSProd.sprod · cited by 1750SProd.sprodmul_assoc · cited by 1667mul_assocuniformity · cited by 765uniformitydiv_eq_mul_inv · cited by 715div_eq_mul_invFilter.Tendsto.comp · cited by 560Tendsto.compinv_inv · cited by 494inv_invmul_inv_rev · cited by 270mul_inv_revIsUniformGroup · cited by 145IsUniformGroupmul_inv_cancel_left · cited by 86mul_inv_cancel_leftIsUniformGroup.of_left_rightCITED BYCITES

Cites28

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.