Theorems · Theorem · linear algebra
Matrix.vecMul_permMatrix
∀ {n : Type u_1} {R : Type u_2} [inst : DecidableEq n] (σ : Equiv.Perm n) [inst_1 : Fintype n] {v : n → R}
[inst_2 : CommRing R], Matrix.vecMul v (Equiv.Perm.permMatrix R σ) = v ∘ ⇑(Equiv.symm σ)- Defined in
- Mathlib.LinearAlgebra.Matrix.Permutation
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeCommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- CommRingstatement and proof · cited by 17,173
- Equivstatement · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- mul_oneproof · cited by 3,885
- Equiv.symmstatement and proof · cited by 3,681
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.mul_zeroproof · cited by 2,091
- Equiv.Permstatement and proof · cited by 1,375
- Function.updateproof · cited by 502
- Finset.sum_applyproof · cited by 234
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.