Theorems · Theorem
FourierAdd.fourier_add
∀ {E : Type u_5} {F : outParam (Type u_6)} {inst : Add E} {inst_1 : Add F} {inst_2 : FourierTransform E F}
[self : FourierAdd E F] (f g : E),
FourierTransform.fourier (f + g) = FourierTransform.fourier f + FourierTransform.fourier g- Defined in
- Mathlib.Analysis.Fourier.Notation
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- FourierAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FourierTransform.fourierstatement · cited by 130
- FourierTransformstatement and proof · cited by 23
- FourierAddstatement and proof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- FourierTransform.fourier_negproof · cited by 3
- FourierTransform.fourier_sumproof · cited by 1
- FourierTransform.fourier_zeroproof · cited by 0