Theorems · Theorem · commutative algebra
Polynomial.gaussNorm_zero
∀ {R : Type u_1} {F : Type u_2} [inst : Semiring R] [inst_1 : FunLike F R ℝ] (v : F) (c : ℝ),
Polynomial.gaussNorm v c 0 = 0- Defined in
- Mathlib.RingTheory.Polynomial.GaussNorm
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement · cited by 5,681
- FunLikestatement and proof · cited by 2,560
- Polynomial.gaussNormstatement · cited by 20
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.gaussNorm_coe_powerSeriesproof · cited by 4
- Polynomial.exists_eq_gaussNormproof · cited by 3
- Polynomial.gaussNorm_mul_leproof · cited by 1
- Polynomial.supNorm_zeroproof · cited by 1
- Polynomial.gaussNorm_intAdicAbv_le_oneproof · cited by 0
- Polynomial.gaussNorm_lt_one_iff_contentIdeal_leproof · cited by 0
- Polynomial.isNonarchimedean_gaussNormproof · cited by 0