Theorems · Theorem · field theory
RatFunc.intDegree_inv
∀ {K : Type u} [inst : Field K] (x : RatFunc K), x⁻¹.intDegree = -x.intDegree- Defined in
- Mathlib.FieldTheory.RatFunc.Degree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 135 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.
Cites10
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
- neg_zeroproof · cited by 542
- RatFuncstatement and proof · cited by 301
- inv_mul_cancel₀proof · cited by 267
- inv_zeroproof · cited by 184
- inv_ne_zeroproof · cited by 99
- RatFunc.intDegreestatement and proof · cited by 18
- RatFunc.intDegree_mulproof · cited by 3
- RatFunc.intDegree_oneproof · cited by 2
- RatFunc.intDegree_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.intDegree_divproof · cited by 1