Theorems · Inductive type · functional analysis
WithLp
ENNReal → Type u_1 → Type u_1
A type synonym for the given V, associated with the Lp norm. Note that by default this just
forgets the norm structure on V; it is up to downstream users to implement the Lp norm (for
instance, on Prod and finite Pi types).
- Defined in
- Mathlib.Analysis.Normed.Lp.WithLp
- Cited by
- 345 results in Mathlib
- Foundations
- Depth 97 from the axioms, rests on 1,956 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.
- ENNRealstatement · cited by 9,879
Cited by399
Results whose statement or proof uses this declaration.
- WithLp.ofLpstatement and proof · cited by 323
- PiLpproof · cited by 150
- WithLp.fststatement and proof · cited by 76
- WithLp.sndstatement and proof · cited by 76
- WithLp.linearEquivstatement and proof · cited by 29
- MeasurableEquiv.toLpstatement and proof · cited by 27
- WithLp.prodContinuousLinearEquivstatement and proof · cited by 15
- Matrix.toLpLinstatement · cited by 14
- Submodule.orthogonalDecompositionstatement and proof · cited by 14
- WithLp.addEquivstatement · cited by 14
- PiLp.single_applyproof · cited by 11
- WithLp.linearEquiv_symm_applystatement · cited by 11
Showing the 200 most cited of 399.