Theorems · Theorem · number theory
Real.fibRec_charPoly_eq
∀ {β : Type u_2} [inst : CommRing β], Real.fibRec.charPoly = Polynomial.X ^ 2 - (Polynomial.X + 1)The characteristic polynomial of fibRec is X² - (X + 1).
- Defined in
- Mathlib.NumberTheory.Real.GoldenRatio
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Polynomialstatement and proof · cited by 5,681
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- Polynomial.Xstatement and proof · cited by 1,639
- one_smulproof · cited by 1,374
- Finset.rangeproof · cited by 1,341
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- Matrix.vecConsproof · cited by 852
Cited by2
Results whose statement or proof uses this declaration.
- Real.geom_goldenConj_isSol_fibRecproof · cited by 1
- Real.geom_goldenRatio_isSol_fibRecproof · cited by 1