Theorems · Theorem · commutative algebra
MvPolynomial.degreeOf_pow_eq
∀ {R : Type u_1} {σ : Type u_2} [inst : CommSemiring R] [NoZeroDivisors R] (i : σ) (p : MvPolynomial σ R) (n : ℕ),
p ≠ 0 → MvPolynomial.degreeOf i (p ^ n) = n * MvPolynomial.degreeOf i p- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringNoZeroDivisors
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement and proof · cited by 2,140
- Finset.rangeproof · cited by 1,341
- NoZeroDivisorsstatement and proof · cited by 545
- Finset.sum_constproof · cited by 254
- Finset.card_rangeproof · cited by 108
- MvPolynomial.degreeOfstatement and proof · cited by 53
- Finset.pow_eq_prod_constproof · cited by 4
- MvPolynomial.degreeOf_prod_eqproof · cited by 1
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