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Theorems Β· Definition Β· Lie groups

LeftInvariantDerivation.noConfusionType

Sort u β†’
  {π•œ : Type u_1} β†’
    [inst : NontriviallyNormedField π•œ] β†’
      {E : Type u_2} β†’
        [inst_1 : NormedAddCommGroup E] β†’
          [inst_2 : NormedSpace π•œ E] β†’
            {H : Type u_3} β†’
              [inst_3 : TopologicalSpace H] β†’
                {I : ModelWithCorners π•œ E H} β†’
                  {G : Type u_4} β†’
                    [inst_4 : TopologicalSpace G] β†’
                      [inst_5 : ChartedSpace H G] β†’
                        [inst_6 : Monoid G] β†’
                          [inst_7 : ContMDiffMul I (β†‘βŠ€) G] β†’
                            LeftInvariantDerivation I G β†’
                              {π•œ' : Type u_1} β†’
                                [inst' : NontriviallyNormedField π•œ'] β†’
                                  {E' : Type u_2} β†’
                                    [inst'_1 : NormedAddCommGroup E'] β†’
                                      [inst'_2 : NormedSpace π•œ' E'] β†’
                                        {H' : Type u_3} β†’
                                          [inst'_3 : TopologicalSpace H'] β†’
                                            {I' : ModelWithCorners π•œ' E' H'} β†’
                                              {G' : Type u_4} β†’
                                                [inst'_4 : TopologicalSpace G'] β†’
                                                  [inst'_5 : ChartedSpace H' G'] β†’
                                                    [inst'_6 : Monoid G'] β†’
                                                      [inst'_7 : ContMDiffMul I' (β†‘βŠ€) G'] β†’
                                                        LeftInvariantDerivation I' G' β†’ Sort u
Defined in
Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation
Cited by
0 results in Mathlib
Foundations
Depth 233 from the axioms Β· uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceMonoidContMDiffMulNontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceMonoidContMDiffMul
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Around this declaration

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LeftInvariantDerivation.noConfusion Β· cited by 0LeftInvariantDerivation.n…DFunLike.coe Β· cited by 62936DFunLike.coeTopologicalSpace Β· cited by 24529TopologicalSpaceNormedAddCommGroup Β· cited by 15752NormedAddCommGroupNormedSpace Β· cited by 12499NormedSpaceTop.top Β· cited by 9680Top.topNontriviallyNormedField Β· cited by 8742NontriviallyNormedFieldENat Β· cited by 4985ENatMonoid Β· cited by 3887MonoidModelWithCorners Β· cited by 2462ModelWithCornersChartedSpace Β· cited by 2397ChartedSpaceWithTop.some Β· cited by 1128WithTop.somemodelWithCornersSelf Β· cited by 920modelWithCornersSelfDerivation Β· cited by 293DerivationContMDiffMap Β· cited by 125ContMDiffMapContMDiffMul Β· cited by 99ContMDiffMulLeftInvariantDerivation.noCon…CITED BYCITES

Cites20

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Cited by1

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