Mathlib Map

Theorems · Theorem

FourierTransform.fourier_neg

∀ {E : Type u_3} {F : Type u_4} [inst : AddCommGroup E] [inst_1 : AddCommGroup F] [inst_2 : FourierTransform E F]
  [FourierAdd E F] (f : E), FourierTransform.fourier (-f) = -FourierTransform.fourier f
Defined in
Mathlib.Analysis.Fourier.Notation
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext
Assumes
AddCommGroupAddCommGroupFourierTransformFourierAdd
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TemperedDistribution.fourier_lineDerivOp_eq · cited by 1TemperedDistribution.four…SchwartzMap.lineDerivOp_fourierInv_eq · cited by 1SchwartzMap.lineDerivOp_f…TemperedDistribution.lineDerivOp_fourier_eq · cited by 0TemperedDistribution.line…AddCommGroup · cited by 12871AddCommGroupmap_neg · cited by 378map_negFourierTransform.fourier · cited by 130FourierTransform.fourierAddMonoidHom.mk' · cited by 25AddMonoidHom.mk'FourierTransform · cited by 23FourierTransformFourierAdd · cited by 14FourierAddFourierAdd.fourier_add · cited by 3FourierAdd.fourier_addFourierTransform.fourier_negCITED BYCITES

Cites7

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Cited by3

Results whose statement or proof uses this declaration.