Theorems · Theorem · functional analysis

schwartz_withSeminorms

∀ (𝕜 : Type u_2) (E : Type u_5) (F : Type u_6) [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace ℝ F] [inst_4 : NormedField 𝕜] [inst_5 : NormedSpace 𝕜 F]
  [inst_6 : SMulCommClass ℝ 𝕜 F], WithSeminorms (schwartzSeminormFamily 𝕜 E F)

Defined in: Mathlib.Analysis.Distribution.SchwartzSpace.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace NormedAddCommGroup NormedSpace NormedField NormedSpace SMulCommClass

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DFunLike.coeproof · cited by 62,936
Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
NormedSpacestatement and proof · cited by 12,499
Filterproof · cited by 8,121
nhdsproof · cited by 5,554
SMulCommClassstatement and proof · cited by 1,927
iInfproof · cited by 1,690
NormedFieldstatement and proof · cited by 1,084
Filter.comapproof · cited by 546
SchwartzMapstatement and proof · cited by 251
WithSeminormsstatement and proof · cited by 69

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