Theorems · Theorem · global analysis

equivTangentBundleProd_symm_apply_proj

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] (I : ModelWithCorners 𝕜 E H) (M : Type u_4)
  [inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {E' : Type u_5} [inst_6 : NormedAddCommGroup E']
  [inst_7 : NormedSpace 𝕜 E'] {H' : Type u_6} [inst_8 : TopologicalSpace H'] (I' : ModelWithCorners 𝕜 E' H')
  (M' : Type u_7) [inst_9 : TopologicalSpace M'] [inst_10 : ChartedSpace H' M']
  (p : TangentBundle I M × TangentBundle I' M'), ((equivTangentBundleProd I M I' M').symm p).proj = (p.1.proj, p.2.proj)

Defined in

Mathlib.Geometry.Manifold.ContMDiffMFDeriv

Cited by

0 results in Mathlib

Foundations

Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace