Theorems · Theorem · field theory
RatFunc.smul_eq_C_smul
∀ {K : Type u} [inst : CommRing K] (x : RatFunc K) (r : K), r • x = Polynomial.C r • x- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites16
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Polynomial.Cstatement and proof · cited by 1,598
- nonZeroDivisorsstatement and proof · cited by 895
- smul_eq_mulproof · cited by 357
- RatFuncstatement and proof · cited by 301
- Localizationproof · cited by 270
- FractionRingproof · cited by 200
- Localization.mkproof · cited by 110
- Localization.induction_onproof · cited by 9
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