Theorems · Theorem · field theory
RatFunc.num_denom_neg
∀ {K : Type u} [inst : Field K] (x : RatFunc K), (-x).num * x.denom = -x.num * (-x).denom- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- map_negproof · cited by 378
- RatFuncstatement and proof · cited by 301
- neg_divproof · cited by 161
- RatFunc.denomstatement and proof · cited by 59
- RatFunc.numstatement and proof · cited by 49
- RatFunc.denom_ne_zeroproof · cited by 20
- RatFunc.num_div_denomproof · cited by 18
- RatFunc.num_mul_eq_mul_denom_iffproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.intDegree_negproof · cited by 0