Theorems · Theorem · field theory
RatFunc.num_mul_dvd
∀ {K : Type u} [inst : Field K] (x y : RatFunc K), (x * y).num ∣ x.num * y.num- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- map_mulproof · cited by 1,137
- RatFuncstatement and proof · cited by 301
- mul_ne_zeroproof · cited by 178
- RatFunc.denomproof · cited by 59
- RatFunc.numstatement and proof · cited by 49
- div_mul_div_commproof · cited by 24
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