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Theorems · Theorem · field theory

Polynomial.eval_natCast_mul

∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} {x : R} {n : ℕ},
  Polynomial.eval x (↑n * p) = ↑n * Polynomial.eval x p
Defined in
Mathlib.Algebra.Polynomial.Eval.Defs
Cited by
2 results in Mathlib
Foundations
Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ascPochhammer_pos · cited by 3ascPochhammer_posdescPochhammer_eval_eq_descFactorial · cited by 3descPochhammer_eval_eq_de…Semiring · cited by 13802SemiringPolynomial · cited by 5681PolynomialPolynomial.eval · cited by 796Polynomial.evalPolynomial.C_eq_natCast · cited by 25Polynomial.C_eq_natCastPolynomial.eval_C_mul · cited by 4Polynomial.eval_C_mulPolynomial.eval_natCast_mulCITED BYCITES

Cites5

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Cited by2

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