Theorems · Theorem · global analysis

writtenInExtChartAt_chartAt_symm

∀ {𝕜 : Type u_1} {E : Type u_2} {M : Type u_3} {H : Type u_4} [inst : NontriviallyNormedField 𝕜]
  [inst_1 : NormedAddCommGroup E] [inst_2 : NormedSpace 𝕜 E] [inst_3 : TopologicalSpace H] [inst_4 : TopologicalSpace M]
  {I : ModelWithCorners 𝕜 E H} [inst_5 : ChartedSpace H M] {x : M} {y : E},
  y ∈ (extChartAt I x).target → writtenInExtChartAt I I (↑(chartAt H x) x) (↑(chartAt H x).symm) y = y

Defined in

Mathlib.Geometry.Manifold.IsManifold.ExtChartAt

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace