Theorems · Theorem · field theory
Polynomial.coeff_inv_units
∀ {R : Type u} [inst : Field R] (u : (Polynomial R)ˣ) (n : ℕ), ((↑u).coeff n)⁻¹ = (↑u⁻¹).coeff n- Defined in
- Mathlib.Algebra.Polynomial.FieldDivision
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 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.
Cites20
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
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Polynomial.Cproof · cited by 1,598
- Polynomial.coeffstatement and proof · cited by 1,045
- Polynomial.evalproof · cited by 796
- div_zeroproof · cited by 251
- Polynomial.eval_mulproof · cited by 127
- inv_mul_cancelproof · cited by 107
- Polynomial.eval_oneproof · cited by 86
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.