Theorems · Theorem · linear algebra
Matrix.toMvPolynomial_add
∀ {m : Type u_1} {n : Type u_2} {R : Type u_4} [inst : Fintype n] [inst_1 : CommSemiring R] (M N : Matrix m n R),
(M + N).toMvPolynomial = M.toMvPolynomial + N.toMvPolynomial- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement · cited by 5,255
- Finset.sumproof · cited by 5,195
- Matrixstatement and proof · cited by 4,303
- Finset.univproof · cited by 3,473
- MvPolynomialstatement · cited by 2,140
- map_addproof · cited by 964
- Finsupp.singleproof · cited by 943
- MvPolynomial.monomialproof · cited by 253
- Finset.sum_add_distribproof · cited by 131
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.toMvPolynomial_addproof · cited by 0