Theorems · Theorem · commutative algebra
MvPolynomial.leadingCoeff_esymmAlgHomMonomial
∀ {R : Type u_3} {n m : ℕ} [inst : CommSemiring R] {r : R} (t : Fin n →₀ ℕ),
n ≤ m → AddMonoidAlgebra.leadingCoeff (⇑toLex) (MvPolynomial.esymmAlgHomMonomial (Fin m) t r) = r- Cited by
- 3 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialproof · cited by 2,140
- Finsupp.supportproof · cited by 828
- LT.lt.trans_leproof · cited by 678
- Equiv.injectiveproof · cited by 464
- Lexstatement · cited by 370
- toLexstatement and proof · cited by 195
- AddMonoidAlgebra.leadingCoeffstatement and proof · cited by 23
- MvPolynomial.esymmAlgHomMonomialstatement and proof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- MvPolynomial.supDegree_esymmAlgHomMonomialproof · cited by 2
- MvPolynomial.esymmAlgHom_fin_injectiveproof · cited by 2
- MvPolynomial.esymmAlgHom_fin_bijectiveproof · cited by 1