Theorems · Theorem · global analysis

Diffeomorph.prodComm_symm

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_4} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {H : Type u_5}
  [inst_5 : TopologicalSpace H] {G : Type u_7} [inst_6 : TopologicalSpace G] (I : ModelWithCorners 𝕜 E H)
  (J : ModelWithCorners 𝕜 F G) (M : Type u_9) [inst_7 : TopologicalSpace M] [inst_8 : ChartedSpace H M] (N : Type u_11)
  [inst_9 : TopologicalSpace N] [inst_10 : ChartedSpace G N] (n : WithTop ℕ∞),
  (Diffeomorph.prodComm I J M N n).symm = Diffeomorph.prodComm J I N M n

Defined in

Mathlib.Geometry.Manifold.Diffeomorph

Cited by

0 results in Mathlib

Foundations

Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceChartedSpaceTopologicalSpaceChartedSpace