Theorems · Theorem · field theory
Polynomial.isMonicOfDegree_sub_add_two
∀ {R : Type u_1} [inst : Ring R] [Nontrivial R] (a b : R),
(Polynomial.X ^ 2 - Polynomial.C a * Polynomial.X + Polynomial.C b).IsMonicOfDegree 2- Cited by
- 2 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- LE.le.transproof · cited by 3,151
- Nontrivialstatement and proof · cited by 2,416
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.natDegreeproof · cited by 1,105
- LE.le.trans_ltproof · cited by 795
- sup_of_le_leftproof · cited by 218
- one_lt_twoproof · cited by 67
Cited by2
Results whose statement or proof uses this declaration.
- NormedAlgebra.Real.exists_isMonicOfDegree_two_and_aeval_eq_zeroproof · cited by 1
- Polynomial.isMonicOfDegree_two_iff'proof · cited by 0