Theorems · Theorem · linear algebra
Matrix.permMatrix_mem_colStochastic
∀ {R : Type u_1} {n : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : Semiring R]
[inst_3 : PartialOrder R] [inst_4 : IsOrderedRing R] {σ : Equiv.Perm n},
Equiv.Perm.permMatrix R σ ∈ Matrix.colStochastic R nAny permutation matrix is column stochastic.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Stochastic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Fintypestatement and proof · cited by 7,736
- PartialOrderstatement and proof · cited by 6,410
- Finset.sumproof · cited by 5,195
- Matrixstatement · cited by 4,303
- Equiv.symmproof · cited by 3,681
- Finset.univproof · cited by 3,473
- Submonoidstatement · cited by 3,086
- Equiv.Permstatement and proof · cited by 1,375
- IsOrderedRingstatement and proof · cited by 777
- Finset.sum_ite_eq'proof · cited by 105
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