Theorems · Theorem · functional analysis
CStarMatrix.norm_entry_le_norm
∀ {m : Type u_1} {n : Type u_2} {A : Type u_5} [inst : Fintype m] [inst_1 : NonUnitalCStarAlgebra A]
[inst_2 : PartialOrder A] [inst_3 : StarOrderedRing A] [inst_4 : Fintype n] {M : CStarMatrix m n A} {i : m} {j : n},
‖M i j‖ ≤ ‖M‖- Cited by
- 0 results in Mathlib
- Foundations
- Depth 337 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- PartialOrderstatement and proof · cited by 6,410
- Norm.normstatement and proof · cited by 5,413
- Equiv.symmproof · cited by 3,681
- LE.le.transproof · cited by 3,151
- Star.starproof · cited by 1,082
- StarOrderedRingstatement and proof · cited by 587
- Pi.singleproof · cited by 518
- norm_zeroproof · cited by 366
- NonUnitalCStarAlgebrastatement and proof · cited by 149
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.