Theorems · Theorem · global analysis

ExistsContDiffBumpBase.y_smooth

∀ (E : Type u_1) [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : FiniteDimensional ℝ E]
  [inst_3 : MeasurableSpace E] [inst_4 : BorelSpace E],
  ContDiffOn ℝ (↑⊤) (Function.uncurry ExistsContDiffBumpBase.y) (Set.Ioo 0 1 ×ˢ Set.univ)

Defined in: Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
Cited by: 0 results in Mathlib
Foundations: Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace FiniteDimensional MeasurableSpace BorelSpace

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Setstatement · cited by 53,352
Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
MeasurableSpacestatement and proof · cited by 13,106
NormedSpacestatement and proof · cited by 12,499
Top.topstatement and proof · cited by 9,680
Norm.normproof · cited by 5,413
ENatstatement · cited by 4,985
Set.univstatement and proof · cited by 3,945
LE.le.transproof · cited by 3,151
Nat.cast_oneproof · cited by 2,501
IsOpenproof · cited by 2,400

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