Theorems · Theorem · global analysis

contMDiff_of_contMDiff_inl

∀ {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] {n : WithTop ℕ∞} {E' : Type u_17}
  [inst_6 : NormedAddCommGroup E'] [inst_7 : NormedSpace 𝕜 E'] {H' : Type u_18} [inst_8 : TopologicalSpace H']
  {J : ModelWithCorners 𝕜 E' H'} {N : Type u_20} {N' : Type u_21} [inst_9 : TopologicalSpace N]
  [inst_10 : TopologicalSpace N'] [inst_11 : ChartedSpace H' N] [inst_12 : ChartedSpace H' N'] {f : M → N},
  ContMDiff I J n (Sum.inl ∘ f) → ContMDiff I J n f

Defined in

Mathlib.Geometry.Manifold.ContMDiff.Constructions

Cited by

1 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpaceNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceTopologicalSpaceChartedSpaceChartedSpace