Theorems · Theorem · commutative algebra
Polynomial.content_C_mul
∀ {R : Type u_2} [inst : CommRing R] [inst_1 : StrongNormalizedGCDMonoid R] (r : R) (p : Polynomial R),
(Polynomial.C r * p).content = normalize r * p.content- Defined in
- Mathlib.RingTheory.Polynomial.Content
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- MulZeroClass.zero_mulproof · cited by 1,625
- map_zeroproof · cited by 1,614
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- Finset.extproof · cited by 565
- Polynomial.supportproof · cited by 237
- normalizestatement and proof · cited by 137
- Polynomial.coeff_C_mulproof · cited by 55
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