Theorems · Theorem · field theory
Polynomial.card_support_binomial
∀ {R : Type u} [inst : Semiring R] {k m : ℕ},
k ≠ m →
∀ {x y : R},
x ≠ 0 → y ≠ 0 → (Polynomial.C x * Polynomial.X ^ k + Polynomial.C y * Polynomial.X ^ m).support.card = 2- Defined in
- Mathlib.Algebra.Polynomial.Coeff
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Finsetproof · cited by 13,712
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Finset.cardstatement and proof · cited by 2,327
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Polynomial.supportstatement · cited by 237
- Finset.card_singletonproof · cited by 144
- Finset.mem_singletonproof · cited by 103
- Finset.card_insert_of_notMemproof · cited by 45
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.eraseLead_mul_eq_mul_eraseLead_of_nextCoeff_zeroproof · cited by 1
- Polynomial.card_support_eq_twoproof · cited by 0