Theorems · Theorem · functional analysis

ContDiffMapSupportedIn.withSeminorms

∀ (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),
  WithSeminorms (ContDiffMapSupportedIn.seminorm 𝕜 E F n K)

Defined in: Mathlib.Analysis.Distribution.ContDiffMapSupportedIn
Cited by: 1 results in Mathlib
Foundations: Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NontriviallyNormedField NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace NormedSpace SMulCommClass

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Cites23

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
NormedSpacestatement and proof · cited by 12,499
NontriviallyNormedFieldstatement and proof · cited by 8,742
ENatstatement and proof · cited by 4,985
Equiv.symmproof · cited by 3,681
SMulCommClassstatement and proof · cited by 1,927
ContinuousMultilinearMapproof · cited by 1,016
BoundedContinuousFunctionproof · cited by 511
TopologicalSpace.Compactsstatement and proof · cited by 386
ContDiffMapSupportedInstatement and proof · cited by 107
WithSeminormsstatement and proof · cited by 69

Cited by1

Results whose statement or proof uses this declaration.

ContDiffMapSupportedIn.withSeminorms'proof · cited by 0