Theorems · Theorem · linear algebra
Matrix.l2_opNorm_le_one_of_mem_doublyStochastic
∀ {n : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] {M : Matrix n n ℝ}, M ∈ doublyStochastic ℝ n → ‖M‖ ≤ 1- Defined in
- Mathlib.Analysis.Convex.Birkhoff
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 239 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- Set.ofPredproof · cited by 6,101
- Norm.normstatement and proof · cited by 5,413
- Matrixstatement and proof · cited by 4,303
- LE.le.transproof · cited by 3,151
- Submonoidstatement · cited by 3,086
- Equiv.Permproof · cited by 1,375
- SetLike.mem_coeproof · cited by 302
- Equiv.Perm.permMatrixproof · cited by 25
- doublyStochasticstatement and proof · cited by 22
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