Theorems · Theorem · functional analysis

ContDiffMapSupportedIn.isUniformEmbedding_pi_structureMapCLM

∀ (𝕜 : Type u_1) {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace ℝ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace ℝ F] [inst_5 : NormedSpace 𝕜 F]
  [inst_6 : SMulCommClass ℝ 𝕜 F] {n : ℕ∞} {K : TopologicalSpace.Compacts E},
  IsUniformEmbedding ⇑(ContinuousLinearMap.pi (ContDiffMapSupportedIn.structureMapCLM 𝕜 n))

Defined in: Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
Cited by: 0 results in Mathlib
Foundations: Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace NormedSpace SMulCommClass

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DFunLike.coestatement and proof · cited by 62,936
Realstatement and proof · cited by 25,697
RingHom.idstatement · cited by 18,349
NormedAddCommGroupstatement and proof · cited by 15,752
NormedSpacestatement and proof · cited by 12,499
NontriviallyNormedFieldstatement and proof · cited by 8,742
ContinuousLinearMapstatement · cited by 5,352
ENatstatement and proof · cited by 4,985
SMulCommClassstatement and proof · cited by 1,927
iInfproof · cited by 1,690
ContinuousMultilinearMapstatement and proof · cited by 1,016
BoundedContinuousFunctionstatement and proof · cited by 511

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