Theorems · Theorem · commutative algebra
Polynomial.neg_one_pow_mul_shiftedLegendre_comp_one_sub_X_eq
∀ (n : ℕ), (-1) ^ n * (Polynomial.shiftedLegendre n).comp (1 - Polynomial.X) = Polynomial.shiftedLegendre n
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Polynomialstatement and proof · cited by 5,681
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- Polynomial.Xstatement and proof · cited by 1,639
- Nat.iterateproof · cited by 740
- Nat.factorialproof · cited by 616
- Polynomial.derivativeproof · cited by 331
- Polynomial.compstatement and proof · cited by 193
- sub_sub_cancelproof · cited by 105
- Nat.factorial_ne_zeroproof · cited by 56
- Polynomial.X_compproof · cited by 29
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.shiftedLegendre_eval_symmproof · cited by 0