Theorems · Theorem · field theory
Polynomial.nnqsmul_eq_C_mul
∀ {R : Type u} [inst : DivisionSemiring R] (q : ℚ≥0) (f : Polynomial R), q • f = Polynomial.C ↑q * f- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiring
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- NNRatstatement and proof · cited by 523
- NNRat.caststatement · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- Polynomial.C_1proof · cited by 57
- smul_one_mulproof · cited by 15
- Polynomial.smul_Cproof · cited by 9
- NNRat.smul_one_eq_castproof · cited by 2
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