Theorems · Theorem · field theory
RatFunc.intDegree_add_le
∀ {K : Type u} [inst : Field K] {x y : RatFunc K}, y ≠ 0 → x + y ≠ 0 → (x + y).intDegree ≤ max x.intDegree y.intDegree- Defined in
- Mathlib.FieldTheory.RatFunc.Degree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 136 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Polynomialproof · cited by 5,681
- zero_addproof · cited by 2,366
- mul_commproof · cited by 2,262
- Polynomial.natDegreeproof · cited by 1,105
- RatFuncstatement and proof · cited by 301
- RatFunc.denomproof · cited by 59
- RatFunc.numproof · cited by 49
- le_max_iffproof · cited by 26
- RatFunc.denom_ne_zeroproof · cited by 20
- RatFunc.intDegreestatement and proof · cited by 18
- sub_le_sub_iff_rightproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.InftyValuation.map_add_le_max'proof · cited by 1