Theorems · Definition · functional analysis
EuclideanSpace.equiv
(ι : Type u_1) → (𝕜 : Type u_3) → [inst : RCLike 𝕜] → EuclideanSpace 𝕜 ι ≃L[𝕜] ι → 𝕜
A shorthand for PiLp.continuousLinearEquiv.
- Defined in
- Mathlib.Analysis.InnerProductSpace.PiL2
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- ENNRealstatement · cited by 9,879
- RCLikestatement and proof · cited by 2,829
- ContinuousLinearEquivstatement · cited by 743
- EuclideanSpacestatement · cited by 307
- PiLp.continuousLinearEquivproof · cited by 31
Cited by8
Results whose statement or proof uses this declaration.
- Matrix.isPositive_toEuclideanLin_iffproof · cited by 2
- ZLattice.volume_image_eq_volume_div_covolume'proof · cited by 2
- Matrix.l2_opNorm_mulVecstatement · cited by 2
- Pi.counit_eq_adjointstatement and proof · cited by 0
- ZLattice.covolume_div_covolume_eq_relIndex'proof · cited by 0
- Matrix.l2_opNNNorm_mulVecstatement · cited by 0
- Pi.comul_eq_adjointstatement and proof · cited by 0
- Matrix.permMatrix_l2_opNorm_eqproof · cited by 0