Theorems · Definition · functional analysis
EuclideanSpace
Type u_7 → Type u_8 → Type (max u_7 u_8)
The standard real/complex Euclidean space, functions on a finite type. For an n-dimensional
space use EuclideanSpace 𝕜 (Fin n).
For the case when n = Fin _, there is !₂[x, y, ...] notation for building elements of this type,
analogous to ![x, y, ...] notation.
- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 307 results in Mathlib
- Foundations
- Depth 117 from the axioms, rests on 2,174 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PiLpproof · cited by 150
Cited by367
Results whose statement or proof uses this declaration.
- OrthonormalBasis.reprstatement · cited by 61
- EuclideanHalfSpaceproof · cited by 47
- modelWithCornersEuclideanHalfSpacestatement and proof · cited by 35
- Diffeology.IsPlotstatement and proof · cited by 29
- EuclideanSpace.basisFunstatement and proof · cited by 26
- Matrix.toEuclideanLinstatement · cited by 22
- EuclideanSpace.singlestatement · cited by 21
- ProbabilityTheory.multivariateGaussianstatement and proof · cited by 19
- DiffeologicalSpace.generateFromstatement and proof · cited by 18
- DiffeologicalSpace.toPlotsstatement and proof · cited by 18
- toEuclideanstatement · cited by 16
- Diffeology.DSmoothproof · cited by 16
Showing the 200 most cited of 367.