Theorems · Theorem · field theory
Polynomial.not_isUnit_X_add_C
∀ {R : Type u} [inst : Semiring R] [Nontrivial R] (a : R), ¬IsUnit (Polynomial.X + Polynomial.C a)- Defined in
- Mathlib.Algebra.Polynomial.Monic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Unitsproof · cited by 2,804
- Nontrivialstatement and proof · cited by 2,416
- Units.valproof · cited by 1,966
- Polynomial.Xstatement and proof · cited by 1,639
- IsUnitstatement and proof · cited by 1,602
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.natDegree_oneproof · cited by 43
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