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Theorems Β· Definition Β· Lie groups

LeftInvariantDerivation.noConfusion

{P : 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†’
                            {t : 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†’
                                                        {t' : LeftInvariantDerivation I' G'} β†’
                                                          π•œ = π•œ' β†’
                                                            inst ≍ inst' β†’
                                                              E = E' β†’
                                                                inst_1 ≍ inst'_1 β†’
                                                                  inst_2 ≍ inst'_2 β†’
                                                                    H = H' β†’
                                                                      inst_3 ≍ inst'_3 β†’
                                                                        I ≍ I' β†’
                                                                          G = G' β†’
                                                                            inst_4 ≍ inst'_4 β†’
                                                                              inst_5 ≍ inst'_5 β†’
                                                                                inst_6 ≍ inst'_6 β†’
                                                                                  inst_7 ≍ inst'_7 β†’
                                                                                    t ≍ t' β†’
                                                                                      LeftInvariantDerivation.noConfusionType
                                                                                        P t t'
Defined in
Mathlib.Geometry.Manifold.Algebra.LeftInvariantDerivation
Cited by
0 results in Mathlib
Foundations
Depth 234 from the axioms Β· uses propext, Classical.choice, Quot.sound
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Around this declaration

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LeftInvariantDerivation.mk.noConfusion Β· cited by 1mk.noConfusionDFunLike.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

Cites21

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Cited by1

Results whose statement or proof uses this declaration.