Theorems · Theorem · linear algebra
Matrix.toLpLin_one
∀ {n : Type u_2} {R : Type u_4} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R] (p : ENNReal),
(Matrix.toLpLin p p) 1 = LinearMap.id- Defined in
- Mathlib.Analysis.Normed.Lp.Matrix
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEqCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- ENNRealstatement and proof · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- LinearEquivstatement · cited by 3,317
- LinearMap.extproof · cited by 844
- LinearMap.idstatement · cited by 625
- WithLpstatement and proof · cited by 345
- WithLp.ofLpproof · cited by 323
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.toLpLinAlgEquivproof · cited by 4
- Matrix.toLpLin_symm_idproof · cited by 0