Theorems · Theorem · commutative algebra
Polynomial.preHilbertPoly_eq_choose_sub_add
∀ (F : Type u_1) [inst : Field F] [CharZero F] (d : ℕ) {k n : ℕ},
k ≤ n → Polynomial.eval (↑n) (Polynomial.preHilbertPoly F d k) = ↑((n - k + d).choose d)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- CharZerostatement and proof · cited by 932
- one_ne_zeroproof · cited by 885
- Polynomial.evalstatement and proof · cited by 796
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.coeff_mul_invOneSubPow_eq_hilbertPoly_evalproof · cited by 3