Theorems · Theorem · global analysis

ContMDiffMap.contMDiff

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {E' : Type u_3} [inst_3 : NormedAddCommGroup E'] [inst_4 : NormedSpace 𝕜 E'] {H : Type u_4}
  [inst_5 : TopologicalSpace H] {H' : Type u_5} [inst_6 : TopologicalSpace H'] {I : ModelWithCorners 𝕜 E H}
  {I' : ModelWithCorners 𝕜 E' H'} {M : Type u_6} [inst_7 : TopologicalSpace M] [inst_8 : ChartedSpace H M]
  {M' : Type u_7} [inst_9 : TopologicalSpace M'] [inst_10 : ChartedSpace H' M'] {n : WithTop ℕ∞}
  (f : ContMDiffMap I I' M M' n), ContMDiff I I' n ⇑f

Defined in

Mathlib.Geometry.Manifold.ContMDiffMap

Cited by

9 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceChartedSpaceTopologicalSpaceChartedSpace